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Finding the Fourth Proportional to 38,498.43, 53,124.38 and 21,500.31

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Solution

The fourth proportional to 38,498.43, 53,124.38 and 21,500.31 is: 29,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.43 : 53,124.38 = 21,500.31 : x
  2. Step 2: Convert to fraction form
    38,498.43/53,124.38 = 21,500.31/x
  3. Step 3: Cross multiply
    38,498.43x = 53,124.38 × 21,500.31
  4. Step 4: Simplify right side
    38,498.43x = 1,142,190,810.90
  5. Step 5: Solve for x
    x = 1,142,190,810.90/38,498.43
  6. Step 6: Final answer
    x = 29,668.50

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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.