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Finding the Fourth Proportional to 27,129.48, 40,700.42 and 10,489.64

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Solution

The fourth proportional to 27,129.48, 40,700.42 and 10,489.64 is: 15,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.48 : 40,700.42 = 10,489.64 : x
  2. Step 2: Convert to fraction form
    27,129.48/40,700.42 = 10,489.64/x
  3. Step 3: Cross multiply
    27,129.48x = 40,700.42 × 10,489.64
  4. Step 4: Simplify right side
    27,129.48x = 426,932,753.65
  5. Step 5: Solve for x
    x = 426,932,753.65/27,129.48
  6. Step 6: Final answer
    x = 15,736.86

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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.