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Finding the Fourth Proportional to 6,381.84, 9,572.88 and 1,999.20

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Solution

The fourth proportional to 6,381.84, 9,572.88 and 1,999.20 is: 2,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.84 : 9,572.88 = 1,999.20 : x
  2. Step 2: Convert to fraction form
    6,381.84/9,572.88 = 1,999.20/x
  3. Step 3: Cross multiply
    6,381.84x = 9,572.88 × 1,999.20
  4. Step 4: Simplify right side
    6,381.84x = 19,138,101.70
  5. Step 5: Solve for x
    x = 19,138,101.70/6,381.84
  6. Step 6: Final answer
    x = 2,998.84

Related Problems

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Half scale
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Double scale
Find fourth proportional to 6,382.84, 9,574.38 and 2,000.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.