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Finding the Fourth Proportional to 1,371.62, 2,057.33 and 887.72

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Solution

The fourth proportional to 1,371.62, 2,057.33 and 887.72 is: 1,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.62 : 2,057.33 = 887.72 : x
  2. Step 2: Convert to fraction form
    1,371.62/2,057.33 = 887.72/x
  3. Step 3: Cross multiply
    1,371.62x = 2,057.33 × 887.72
  4. Step 4: Simplify right side
    1,371.62x = 1,826,324.92
  5. Step 5: Solve for x
    x = 1,826,324.92/1,371.62
  6. Step 6: Final answer
    x = 1,331.51

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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.