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Finding the Fourth Proportional to 6,442.76, 9,680.28 and 4,103.76

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Solution

The fourth proportional to 6,442.76, 9,680.28 and 4,103.76 is: 6,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.76 : 9,680.28 = 4,103.76 : x
  2. Step 2: Convert to fraction form
    6,442.76/9,680.28 = 4,103.76/x
  3. Step 3: Cross multiply
    6,442.76x = 9,680.28 × 4,103.76
  4. Step 4: Simplify right side
    6,442.76x = 39,725,545.85
  5. Step 5: Solve for x
    x = 39,725,545.85/6,442.76
  6. Step 6: Final answer
    x = 6,165.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.