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Finding the Fourth Proportional to 1,241.26, 1,711.17 and 887.09

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Solution

The fourth proportional to 1,241.26, 1,711.17 and 887.09 is: 1,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.26 : 1,711.17 = 887.09 : x
  2. Step 2: Convert to fraction form
    1,241.26/1,711.17 = 887.09/x
  3. Step 3: Cross multiply
    1,241.26x = 1,711.17 × 887.09
  4. Step 4: Simplify right side
    1,241.26x = 1,517,953.24
  5. Step 5: Solve for x
    x = 1,517,953.24/1,241.26
  6. Step 6: Final answer
    x = 1,222.92

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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.