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Finding the Fourth Proportional to 5,146.48, 7,719.72 and 1,250.88

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Solution

The fourth proportional to 5,146.48, 7,719.72 and 1,250.88 is: 1,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.48 : 7,719.72 = 1,250.88 : x
  2. Step 2: Convert to fraction form
    5,146.48/7,719.72 = 1,250.88/x
  3. Step 3: Cross multiply
    5,146.48x = 7,719.72 × 1,250.88
  4. Step 4: Simplify right side
    5,146.48x = 9,656,443.35
  5. Step 5: Solve for x
    x = 9,656,443.35/5,146.48
  6. Step 6: Final answer
    x = 1,876.32

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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.