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Finding the Fourth Proportional to 10,641.81, 15,972.44 and 8,168.61

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Solution

The fourth proportional to 10,641.81, 15,972.44 and 8,168.61 is: 12,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.81 : 15,972.44 = 8,168.61 : x
  2. Step 2: Convert to fraction form
    10,641.81/15,972.44 = 8,168.61/x
  3. Step 3: Cross multiply
    10,641.81x = 15,972.44 × 8,168.61
  4. Step 4: Simplify right side
    10,641.81x = 130,472,592.27
  5. Step 5: Solve for x
    x = 130,472,592.27/10,641.81
  6. Step 6: Final answer
    x = 12,260.38

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Why These Related Problems?

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