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Finding the Fourth Proportional to 10,146.54, 15,218.70 and 2,750.70

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Solution

The fourth proportional to 10,146.54, 15,218.70 and 2,750.70 is: 4,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.54 : 15,218.70 = 2,750.70 : x
  2. Step 2: Convert to fraction form
    10,146.54/15,218.70 = 2,750.70/x
  3. Step 3: Cross multiply
    10,146.54x = 15,218.70 × 2,750.70
  4. Step 4: Simplify right side
    10,146.54x = 41,862,078.09
  5. Step 5: Solve for x
    x = 41,862,078.09/10,146.54
  6. Step 6: Final answer
    x = 4,125.75

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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.