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Finding the Fourth Proportional to 5,147.78, 7,721.64 and 1,252.20

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Solution

The fourth proportional to 5,147.78, 7,721.64 and 1,252.20 is: 1,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.78 : 7,721.64 = 1,252.20 : x
  2. Step 2: Convert to fraction form
    5,147.78/7,721.64 = 1,252.20/x
  3. Step 3: Cross multiply
    5,147.78x = 7,721.64 × 1,252.20
  4. Step 4: Simplify right side
    5,147.78x = 9,669,037.61
  5. Step 5: Solve for x
    x = 9,669,037.61/5,147.78
  6. Step 6: Final answer
    x = 1,878.29

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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.