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Finding the Fourth Proportional to 22,691.10, 31,313.17 and 12,342.58

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Solution

The fourth proportional to 22,691.10, 31,313.17 and 12,342.58 is: 17,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.10 : 31,313.17 = 12,342.58 : x
  2. Step 2: Convert to fraction form
    22,691.10/31,313.17 = 12,342.58/x
  3. Step 3: Cross multiply
    22,691.10x = 31,313.17 × 12,342.58
  4. Step 4: Simplify right side
    22,691.10x = 386,485,274.92
  5. Step 5: Solve for x
    x = 386,485,274.92/22,691.10
  6. Step 6: Final answer
    x = 17,032.46

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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.