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Finding the Fourth Proportional to 21,721.88, 32,587.56 and 8,394.68

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Solution

The fourth proportional to 21,721.88, 32,587.56 and 8,394.68 is: 12,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.88 : 32,587.56 = 8,394.68 : x
  2. Step 2: Convert to fraction form
    21,721.88/32,587.56 = 8,394.68/x
  3. Step 3: Cross multiply
    21,721.88x = 32,587.56 × 8,394.68
  4. Step 4: Simplify right side
    21,721.88x = 273,562,138.18
  5. Step 5: Solve for x
    x = 273,562,138.18/21,721.88
  6. Step 6: Final answer
    x = 12,593.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.