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Finding the Fourth Proportional to 10,175.20, 15,241.20 and 8,447.20

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Solution

The fourth proportional to 10,175.20, 15,241.20 and 8,447.20 is: 12,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.20 : 15,241.20 = 8,447.20 : x
  2. Step 2: Convert to fraction form
    10,175.20/15,241.20 = 8,447.20/x
  3. Step 3: Cross multiply
    10,175.20x = 15,241.20 × 8,447.20
  4. Step 4: Simplify right side
    10,175.20x = 128,745,464.64
  5. Step 5: Solve for x
    x = 128,745,464.64/10,175.20
  6. Step 6: Final answer
    x = 12,652.87

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1.5x scale

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.