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Finding the Fourth Proportional to 38,680, 53,404.16 and 29,711.52

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Solution

The fourth proportional to 38,680, 53,404.16 and 29,711.52 is: 41,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680 : 53,404.16 = 29,711.52 : x
  2. Step 2: Convert to fraction form
    38,680/53,404.16 = 29,711.52/x
  3. Step 3: Cross multiply
    38,680x = 53,404.16 × 29,711.52
  4. Step 4: Simplify right side
    38,680x = 1,586,718,767.92
  5. Step 5: Solve for x
    x = 1,586,718,767.92/38,680
  6. Step 6: Final answer
    x = 41,021.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.