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Finding the Fourth Proportional to 5,156.70, 7,735.17 and 1,261.14

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Solution

The fourth proportional to 5,156.70, 7,735.17 and 1,261.14 is: 1,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.70 : 7,735.17 = 1,261.14 : x
  2. Step 2: Convert to fraction form
    5,156.70/7,735.17 = 1,261.14/x
  3. Step 3: Cross multiply
    5,156.70x = 7,735.17 × 1,261.14
  4. Step 4: Simplify right side
    5,156.70x = 9,755,132.29
  5. Step 5: Solve for x
    x = 9,755,132.29/5,156.70
  6. Step 6: Final answer
    x = 1,891.74

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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.