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Finding the Fourth Proportional to 6,687.14, 9,229.29 and 3,815.87

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Solution

The fourth proportional to 6,687.14, 9,229.29 and 3,815.87 is: 5,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.14 : 9,229.29 = 3,815.87 : x
  2. Step 2: Convert to fraction form
    6,687.14/9,229.29 = 3,815.87/x
  3. Step 3: Cross multiply
    6,687.14x = 9,229.29 × 3,815.87
  4. Step 4: Simplify right side
    6,687.14x = 35,217,770.83
  5. Step 5: Solve for x
    x = 35,217,770.83/6,687.14
  6. Step 6: Final answer
    x = 5,266.49

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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.