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Finding the Fourth Proportional to 6,129.84, 9,199.38 and 4,490.58

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Solution

The fourth proportional to 6,129.84, 9,199.38 and 4,490.58 is: 6,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.84 : 9,199.38 = 4,490.58 : x
  2. Step 2: Convert to fraction form
    6,129.84/9,199.38 = 4,490.58/x
  3. Step 3: Cross multiply
    6,129.84x = 9,199.38 × 4,490.58
  4. Step 4: Simplify right side
    6,129.84x = 41,310,551.84
  5. Step 5: Solve for x
    x = 41,310,551.84/6,129.84
  6. Step 6: Final answer
    x = 6,739.25

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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.