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Finding the Fourth Proportional to 5,146.70, 7,719.99 and 1,251.14

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Solution

The fourth proportional to 5,146.70, 7,719.99 and 1,251.14 is: 1,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.70 : 7,719.99 = 1,251.14 : x
  2. Step 2: Convert to fraction form
    5,146.70/7,719.99 = 1,251.14/x
  3. Step 3: Cross multiply
    5,146.70x = 7,719.99 × 1,251.14
  4. Step 4: Simplify right side
    5,146.70x = 9,658,788.29
  5. Step 5: Solve for x
    x = 9,658,788.29/5,146.70
  6. Step 6: Final answer
    x = 1,876.70

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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.