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Finding the Fourth Proportional to 38,407.91, 53,006.85 and 21,414.92

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Solution

The fourth proportional to 38,407.91, 53,006.85 and 21,414.92 is: 29,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.91 : 53,006.85 = 21,414.92 : x
  2. Step 2: Convert to fraction form
    38,407.91/53,006.85 = 21,414.92/x
  3. Step 3: Cross multiply
    38,407.91x = 53,006.85 × 21,414.92
  4. Step 4: Simplify right side
    38,407.91x = 1,135,137,584.72
  5. Step 5: Solve for x
    x = 1,135,137,584.72/38,407.91
  6. Step 6: Final answer
    x = 29,554.78

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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.