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Finding the Fourth Proportional to 8,781.28, 12,130 and 7,025.44

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Solution

The fourth proportional to 8,781.28, 12,130 and 7,025.44 is: 9,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.28 : 12,130 = 7,025.44 : x
  2. Step 2: Convert to fraction form
    8,781.28/12,130 = 7,025.44/x
  3. Step 3: Cross multiply
    8,781.28x = 12,130 × 7,025.44
  4. Step 4: Simplify right side
    8,781.28x = 85,218,587.20
  5. Step 5: Solve for x
    x = 85,218,587.20/8,781.28
  6. Step 6: Final answer
    x = 9,704.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.