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Finding the Fourth Proportional to 13,375.71, 20,052.27 and 8,434.47

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Solution

The fourth proportional to 13,375.71, 20,052.27 and 8,434.47 is: 12,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.71 : 20,052.27 = 8,434.47 : x
  2. Step 2: Convert to fraction form
    13,375.71/20,052.27 = 8,434.47/x
  3. Step 3: Cross multiply
    13,375.71x = 20,052.27 × 8,434.47
  4. Step 4: Simplify right side
    13,375.71x = 169,130,269.75
  5. Step 5: Solve for x
    x = 169,130,269.75/13,375.71
  6. Step 6: Final answer
    x = 12,644.58

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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.