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Finding the Fourth Proportional to 5,146.84, 7,720.20 and 1,251.25

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Solution

The fourth proportional to 5,146.84, 7,720.20 and 1,251.25 is: 1,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.84 : 7,720.20 = 1,251.25 : x
  2. Step 2: Convert to fraction form
    5,146.84/7,720.20 = 1,251.25/x
  3. Step 3: Cross multiply
    5,146.84x = 7,720.20 × 1,251.25
  4. Step 4: Simplify right side
    5,146.84x = 9,659,900.25
  5. Step 5: Solve for x
    x = 9,659,900.25/5,146.84
  6. Step 6: Final answer
    x = 1,876.86

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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.