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Finding the Fourth Proportional to 6,876.57, 9,488.97 and 3,891.88

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Solution

The fourth proportional to 6,876.57, 9,488.97 and 3,891.88 is: 5,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.57 : 9,488.97 = 3,891.88 : x
  2. Step 2: Convert to fraction form
    6,876.57/9,488.97 = 3,891.88/x
  3. Step 3: Cross multiply
    6,876.57x = 9,488.97 × 3,891.88
  4. Step 4: Simplify right side
    6,876.57x = 36,929,913.10
  5. Step 5: Solve for x
    x = 36,929,913.10/6,876.57
  6. Step 6: Final answer
    x = 5,370.40

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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.