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Finding the Fourth Proportional to 22,531.90, 31,092.76 and 12,459.73

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Solution

The fourth proportional to 22,531.90, 31,092.76 and 12,459.73 is: 17,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.90 : 31,092.76 = 12,459.73 : x
  2. Step 2: Convert to fraction form
    22,531.90/31,092.76 = 12,459.73/x
  3. Step 3: Cross multiply
    22,531.90x = 31,092.76 × 12,459.73
  4. Step 4: Simplify right side
    22,531.90x = 387,407,394.55
  5. Step 5: Solve for x
    x = 387,407,394.55/22,531.90
  6. Step 6: Final answer
    x = 17,193.73

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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.