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Finding the Fourth Proportional to 9,686.38, 13,372.14 and 6,855.97

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Solution

The fourth proportional to 9,686.38, 13,372.14 and 6,855.97 is: 9,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.38 : 13,372.14 = 6,855.97 : x
  2. Step 2: Convert to fraction form
    9,686.38/13,372.14 = 6,855.97/x
  3. Step 3: Cross multiply
    9,686.38x = 13,372.14 × 6,855.97
  4. Step 4: Simplify right side
    9,686.38x = 91,678,990.68
  5. Step 5: Solve for x
    x = 91,678,990.68/9,686.38
  6. Step 6: Final answer
    x = 9,464.73

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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.