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Finding the Fourth Proportional to 9,187.80, 13,781.70 and 8,167.20

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Solution

The fourth proportional to 9,187.80, 13,781.70 and 8,167.20 is: 12,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.80 : 13,781.70 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    9,187.80/13,781.70 = 8,167.20/x
  3. Step 3: Cross multiply
    9,187.80x = 13,781.70 × 8,167.20
  4. Step 4: Simplify right side
    9,187.80x = 112,557,900.24
  5. Step 5: Solve for x
    x = 112,557,900.24/9,187.80
  6. Step 6: Final answer
    x = 12,250.80

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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.