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Finding the Fourth Proportional to 5,294.80, 7,942.38 and 2,521.78

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Solution

The fourth proportional to 5,294.80, 7,942.38 and 2,521.78 is: 3,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.80 : 7,942.38 = 2,521.78 : x
  2. Step 2: Convert to fraction form
    5,294.80/7,942.38 = 2,521.78/x
  3. Step 3: Cross multiply
    5,294.80x = 7,942.38 × 2,521.78
  4. Step 4: Simplify right side
    5,294.80x = 20,028,935.04
  5. Step 5: Solve for x
    x = 20,028,935.04/5,294.80
  6. Step 6: Final answer
    x = 3,782.76

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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.