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Finding the Fourth Proportional to 5,147.90, 7,721.78 and 1,252.31

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Solution

The fourth proportional to 5,147.90, 7,721.78 and 1,252.31 is: 1,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.90 : 7,721.78 = 1,252.31 : x
  2. Step 2: Convert to fraction form
    5,147.90/7,721.78 = 1,252.31/x
  3. Step 3: Cross multiply
    5,147.90x = 7,721.78 × 1,252.31
  4. Step 4: Simplify right side
    5,147.90x = 9,670,023.70
  5. Step 5: Solve for x
    x = 9,670,023.70/5,147.90
  6. Step 6: Final answer
    x = 1,878.44

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1.5x scale

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.