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Finding the Fourth Proportional to 15,434.92, 23,156.03 and 5,438.17

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Solution

The fourth proportional to 15,434.92, 23,156.03 and 5,438.17 is: 8,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.92 : 23,156.03 = 5,438.17 : x
  2. Step 2: Convert to fraction form
    15,434.92/23,156.03 = 5,438.17/x
  3. Step 3: Cross multiply
    15,434.92x = 23,156.03 × 5,438.17
  4. Step 4: Simplify right side
    15,434.92x = 125,926,400.47
  5. Step 5: Solve for x
    x = 125,926,400.47/15,434.92
  6. Step 6: Final answer
    x = 8,158.54

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