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Finding the Fourth Proportional to 5,147.78, 7,721.60 and 1,252.22

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Solution

The fourth proportional to 5,147.78, 7,721.60 and 1,252.22 is: 1,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.78 : 7,721.60 = 1,252.22 : x
  2. Step 2: Convert to fraction form
    5,147.78/7,721.60 = 1,252.22/x
  3. Step 3: Cross multiply
    5,147.78x = 7,721.60 × 1,252.22
  4. Step 4: Simplify right side
    5,147.78x = 9,669,141.95
  5. Step 5: Solve for x
    x = 9,669,141.95/5,147.78
  6. Step 6: Final answer
    x = 1,878.31

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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.