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Finding the Fourth Proportional to 6,938.96, 9,642.14 and 6,867.92

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Solution

The fourth proportional to 6,938.96, 9,642.14 and 6,867.92 is: 9,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.96 : 9,642.14 = 6,867.92 : x
  2. Step 2: Convert to fraction form
    6,938.96/9,642.14 = 6,867.92/x
  3. Step 3: Cross multiply
    6,938.96x = 9,642.14 × 6,867.92
  4. Step 4: Simplify right side
    6,938.96x = 66,221,446.15
  5. Step 5: Solve for x
    x = 66,221,446.15/6,938.96
  6. Step 6: Final answer
    x = 9,543.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.