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Finding the Fourth Proportional to 1,261.13, 1,891.70 and 1,251.41

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Solution

The fourth proportional to 1,261.13, 1,891.70 and 1,251.41 is: 1,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.13 : 1,891.70 = 1,251.41 : x
  2. Step 2: Convert to fraction form
    1,261.13/1,891.70 = 1,251.41/x
  3. Step 3: Cross multiply
    1,261.13x = 1,891.70 × 1,251.41
  4. Step 4: Simplify right side
    1,261.13x = 2,367,292.30
  5. Step 5: Solve for x
    x = 2,367,292.30/1,261.13
  6. Step 6: Final answer
    x = 1,877.12

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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.