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Finding the Fourth Proportional to 5,149.58, 7,721.78 and 2,517.28

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Solution

The fourth proportional to 5,149.58, 7,721.78 and 2,517.28 is: 3,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.58 : 7,721.78 = 2,517.28 : x
  2. Step 2: Convert to fraction form
    5,149.58/7,721.78 = 2,517.28/x
  3. Step 3: Cross multiply
    5,149.58x = 7,721.78 × 2,517.28
  4. Step 4: Simplify right side
    5,149.58x = 19,437,864.63
  5. Step 5: Solve for x
    x = 19,437,864.63/5,149.58
  6. Step 6: Final answer
    x = 3,774.65

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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.