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Finding the Fourth Proportional to 6,876.38, 9,491.87 and 4,081.88

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Solution

The fourth proportional to 6,876.38, 9,491.87 and 4,081.88 is: 5,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.38 : 9,491.87 = 4,081.88 : x
  2. Step 2: Convert to fraction form
    6,876.38/9,491.87 = 4,081.88/x
  3. Step 3: Cross multiply
    6,876.38x = 9,491.87 × 4,081.88
  4. Step 4: Simplify right side
    6,876.38x = 38,744,606.45
  5. Step 5: Solve for x
    x = 38,744,606.45/6,876.38
  6. Step 6: Final answer
    x = 5,634.45

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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.