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Finding the Fourth Proportional to 2,248.16, 3,102.42 and 1,253.42

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Solution

The fourth proportional to 2,248.16, 3,102.42 and 1,253.42 is: 1,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.16 : 3,102.42 = 1,253.42 : x
  2. Step 2: Convert to fraction form
    2,248.16/3,102.42 = 1,253.42/x
  3. Step 3: Cross multiply
    2,248.16x = 3,102.42 × 1,253.42
  4. Step 4: Simplify right side
    2,248.16x = 3,888,635.28
  5. Step 5: Solve for x
    x = 3,888,635.28/2,248.16
  6. Step 6: Final answer
    x = 1,729.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.