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Finding the Fourth Proportional to 13,652.31, 20,452.20 and 8,371.91

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Solution

The fourth proportional to 13,652.31, 20,452.20 and 8,371.91 is: 12,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.31 : 20,452.20 = 8,371.91 : x
  2. Step 2: Convert to fraction form
    13,652.31/20,452.20 = 8,371.91/x
  3. Step 3: Cross multiply
    13,652.31x = 20,452.20 × 8,371.91
  4. Step 4: Simplify right side
    13,652.31x = 171,223,875.44
  5. Step 5: Solve for x
    x = 171,223,875.44/13,652.31
  6. Step 6: Final answer
    x = 12,541.75

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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.