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Finding the Fourth Proportional to 38,694.78, 53,404.78 and 21,705.90

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Solution

The fourth proportional to 38,694.78, 53,404.78 and 21,705.90 is: 29,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,694.78 : 53,404.78 = 21,705.90 : x
  2. Step 2: Convert to fraction form
    38,694.78/53,404.78 = 21,705.90/x
  3. Step 3: Cross multiply
    38,694.78x = 53,404.78 × 21,705.90
  4. Step 4: Simplify right side
    38,694.78x = 1,159,198,814.20
  5. Step 5: Solve for x
    x = 1,159,198,814.20/38,694.78
  6. Step 6: Final answer
    x = 29,957.50

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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.