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Finding the Fourth Proportional to 8,265.88, 12,383.19 and 6,407.90

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Solution

The fourth proportional to 8,265.88, 12,383.19 and 6,407.90 is: 9,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.88 : 12,383.19 = 6,407.90 : x
  2. Step 2: Convert to fraction form
    8,265.88/12,383.19 = 6,407.90/x
  3. Step 3: Cross multiply
    8,265.88x = 12,383.19 × 6,407.90
  4. Step 4: Simplify right side
    8,265.88x = 79,350,227.72
  5. Step 5: Solve for x
    x = 79,350,227.72/8,265.88
  6. Step 6: Final answer
    x = 9,599.73

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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.