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Finding the Fourth Proportional to 4,077.84, 6,116.77 and 999.84

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Solution

The fourth proportional to 4,077.84, 6,116.77 and 999.84 is: 1,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 6,116.77 = 999.84 : x
  2. Step 2: Convert to fraction form
    4,077.84/6,116.77 = 999.84/x
  3. Step 3: Cross multiply
    4,077.84x = 6,116.77 × 999.84
  4. Step 4: Simplify right side
    4,077.84x = 6,115,809.88
  5. Step 5: Solve for x
    x = 6,115,809.88/4,077.84
  6. Step 6: Final answer
    x = 1,499.77

Related Problems

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Half scale
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Double scale
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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.