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Finding the Fourth Proportional to 5,140.82, 7,711.16 and 1,245.20

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Solution

The fourth proportional to 5,140.82, 7,711.16 and 1,245.20 is: 1,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.82 : 7,711.16 = 1,245.20 : x
  2. Step 2: Convert to fraction form
    5,140.82/7,711.16 = 1,245.20/x
  3. Step 3: Cross multiply
    5,140.82x = 7,711.16 × 1,245.20
  4. Step 4: Simplify right side
    5,140.82x = 9,601,891.65
  5. Step 5: Solve for x
    x = 9,601,891.65/5,140.82
  6. Step 6: Final answer
    x = 1,867.78

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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.