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Finding the Fourth Proportional to 8,616.68, 11,882.94 and 6,854.12

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Solution

The fourth proportional to 8,616.68, 11,882.94 and 6,854.12 is: 9,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.68 : 11,882.94 = 6,854.12 : x
  2. Step 2: Convert to fraction form
    8,616.68/11,882.94 = 6,854.12/x
  3. Step 3: Cross multiply
    8,616.68x = 11,882.94 × 6,854.12
  4. Step 4: Simplify right side
    8,616.68x = 81,447,096.71
  5. Step 5: Solve for x
    x = 81,447,096.71/8,616.68
  6. Step 6: Final answer
    x = 9,452.26

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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.