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Finding the Fourth Proportional to 8,287.68, 12,431.52 and 5,682.72

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Solution

The fourth proportional to 8,287.68, 12,431.52 and 5,682.72 is: 8,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.68 : 12,431.52 = 5,682.72 : x
  2. Step 2: Convert to fraction form
    8,287.68/12,431.52 = 5,682.72/x
  3. Step 3: Cross multiply
    8,287.68x = 12,431.52 × 5,682.72
  4. Step 4: Simplify right side
    8,287.68x = 70,644,847.33
  5. Step 5: Solve for x
    x = 70,644,847.33/8,287.68
  6. Step 6: Final answer
    x = 8,524.08

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Similar ratio
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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.