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Finding the Fourth Proportional to 8,517.12, 12,756.24 and 7,661.76

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Solution

The fourth proportional to 8,517.12, 12,756.24 and 7,661.76 is: 11,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.12 : 12,756.24 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    8,517.12/12,756.24 = 7,661.76/x
  3. Step 3: Cross multiply
    8,517.12x = 12,756.24 × 7,661.76
  4. Step 4: Simplify right side
    8,517.12x = 97,735,249.38
  5. Step 5: Solve for x
    x = 97,735,249.38/8,517.12
  6. Step 6: Final answer
    x = 11,475.15

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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.