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Finding the Fourth Proportional to 1,265.95, 1,891.49 and 1,242.82

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Solution

The fourth proportional to 1,265.95, 1,891.49 and 1,242.82 is: 1,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.95 : 1,891.49 = 1,242.82 : x
  2. Step 2: Convert to fraction form
    1,265.95/1,891.49 = 1,242.82/x
  3. Step 3: Cross multiply
    1,265.95x = 1,891.49 × 1,242.82
  4. Step 4: Simplify right side
    1,265.95x = 2,350,781.60
  5. Step 5: Solve for x
    x = 2,350,781.60/1,265.95
  6. Step 6: Final answer
    x = 1,856.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.