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Finding the Fourth Proportional to 8,677.14, 11,983.05 and 8,387.70

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Solution

The fourth proportional to 8,677.14, 11,983.05 and 8,387.70 is: 11,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.14 : 11,983.05 = 8,387.70 : x
  2. Step 2: Convert to fraction form
    8,677.14/11,983.05 = 8,387.70/x
  3. Step 3: Cross multiply
    8,677.14x = 11,983.05 × 8,387.70
  4. Step 4: Simplify right side
    8,677.14x = 100,510,228.49
  5. Step 5: Solve for x
    x = 100,510,228.49/8,677.14
  6. Step 6: Final answer
    x = 11,583.34

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Similar ratio
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1.5x scale

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.