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Finding the Fourth Proportional to 4,713.92, 7,071.06 and 1,251.20

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Solution

The fourth proportional to 4,713.92, 7,071.06 and 1,251.20 is: 1,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.92 : 7,071.06 = 1,251.20 : x
  2. Step 2: Convert to fraction form
    4,713.92/7,071.06 = 1,251.20/x
  3. Step 3: Cross multiply
    4,713.92x = 7,071.06 × 1,251.20
  4. Step 4: Simplify right side
    4,713.92x = 8,847,310.27
  5. Step 5: Solve for x
    x = 8,847,310.27/4,713.92
  6. Step 6: Final answer
    x = 1,876.85

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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.