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Finding the Fourth Proportional to 9,174.88, 13,766.32 and 8,781.28

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Solution

The fourth proportional to 9,174.88, 13,766.32 and 8,781.28 is: 13,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.88 : 13,766.32 = 8,781.28 : x
  2. Step 2: Convert to fraction form
    9,174.88/13,766.32 = 8,781.28/x
  3. Step 3: Cross multiply
    9,174.88x = 13,766.32 × 8,781.28
  4. Step 4: Simplify right side
    9,174.88x = 120,885,910.49
  5. Step 5: Solve for x
    x = 120,885,910.49/9,174.88
  6. Step 6: Final answer
    x = 13,175.75

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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.