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Finding the Fourth Proportional to 5,296.64, 7,943.56 and 2,517.78

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Solution

The fourth proportional to 5,296.64, 7,943.56 and 2,517.78 is: 3,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,943.56 = 2,517.78 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,943.56 = 2,517.78/x
  3. Step 3: Cross multiply
    5,296.64x = 7,943.56 × 2,517.78
  4. Step 4: Simplify right side
    5,296.64x = 20,000,159.99
  5. Step 5: Solve for x
    x = 20,000,159.99/5,296.64
  6. Step 6: Final answer
    x = 3,776.01

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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.