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Finding the Fourth Proportional to 13,447.68, 20,165.40 and 5,652.24

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Solution

The fourth proportional to 13,447.68, 20,165.40 and 5,652.24 is: 8,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.68 : 20,165.40 = 5,652.24 : x
  2. Step 2: Convert to fraction form
    13,447.68/20,165.40 = 5,652.24/x
  3. Step 3: Cross multiply
    13,447.68x = 20,165.40 × 5,652.24
  4. Step 4: Simplify right side
    13,447.68x = 113,979,680.50
  5. Step 5: Solve for x
    x = 113,979,680.50/13,447.68
  6. Step 6: Final answer
    x = 8,475.79

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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.