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Finding the Fourth Proportional to 1,251.85, 1,886.23 and 1,037.25

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Solution

The fourth proportional to 1,251.85, 1,886.23 and 1,037.25 is: 1,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.85 : 1,886.23 = 1,037.25 : x
  2. Step 2: Convert to fraction form
    1,251.85/1,886.23 = 1,037.25/x
  3. Step 3: Cross multiply
    1,251.85x = 1,886.23 × 1,037.25
  4. Step 4: Simplify right side
    1,251.85x = 1,956,496.12
  5. Step 5: Solve for x
    x = 1,956,496.12/1,251.85
  6. Step 6: Final answer
    x = 1,562.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.