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Finding the Fourth Proportional to 39,561, 54,594.18 and 21,897

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Solution

The fourth proportional to 39,561, 54,594.18 and 21,897 is: 30,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561 : 54,594.18 = 21,897 : x
  2. Step 2: Convert to fraction form
    39,561/54,594.18 = 21,897/x
  3. Step 3: Cross multiply
    39,561x = 54,594.18 × 21,897
  4. Step 4: Simplify right side
    39,561x = 1,195,448,759.46
  5. Step 5: Solve for x
    x = 1,195,448,759.46/39,561
  6. Step 6: Final answer
    x = 30,217.86

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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.