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Finding the Fourth Proportional to 22,591.76, 31,179.66 and 13,158.68

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Solution

The fourth proportional to 22,591.76, 31,179.66 and 13,158.68 is: 18,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.76 : 31,179.66 = 13,158.68 : x
  2. Step 2: Convert to fraction form
    22,591.76/31,179.66 = 13,158.68/x
  3. Step 3: Cross multiply
    22,591.76x = 31,179.66 × 13,158.68
  4. Step 4: Simplify right side
    22,591.76x = 410,283,168.45
  5. Step 5: Solve for x
    x = 410,283,168.45/22,591.76
  6. Step 6: Final answer
    x = 18,160.74

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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.