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Finding the Fourth Proportional to 8,318.70, 11,472.15 and 6,199.47

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Solution

The fourth proportional to 8,318.70, 11,472.15 and 6,199.47 is: 8,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.70 : 11,472.15 = 6,199.47 : x
  2. Step 2: Convert to fraction form
    8,318.70/11,472.15 = 6,199.47/x
  3. Step 3: Cross multiply
    8,318.70x = 11,472.15 × 6,199.47
  4. Step 4: Simplify right side
    8,318.70x = 71,121,249.76
  5. Step 5: Solve for x
    x = 71,121,249.76/8,318.70
  6. Step 6: Final answer
    x = 8,549.56

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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.