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Finding the Fourth Proportional to 22,909.92, 31,615.65 and 13,957.42

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Solution

The fourth proportional to 22,909.92, 31,615.65 and 13,957.42 is: 19,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.92 : 31,615.65 = 13,957.42 : x
  2. Step 2: Convert to fraction form
    22,909.92/31,615.65 = 13,957.42/x
  3. Step 3: Cross multiply
    22,909.92x = 31,615.65 × 13,957.42
  4. Step 4: Simplify right side
    22,909.92x = 441,272,905.62
  5. Step 5: Solve for x
    x = 441,272,905.62/22,909.92
  6. Step 6: Final answer
    x = 19,261.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.