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Finding the Fourth Proportional to 1,581.33, 2,371.95 and 849.90

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Solution

The fourth proportional to 1,581.33, 2,371.95 and 849.90 is: 1,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.33 : 2,371.95 = 849.90 : x
  2. Step 2: Convert to fraction form
    1,581.33/2,371.95 = 849.90/x
  3. Step 3: Cross multiply
    1,581.33x = 2,371.95 × 849.90
  4. Step 4: Simplify right side
    1,581.33x = 2,015,920.31
  5. Step 5: Solve for x
    x = 2,015,920.31/1,581.33
  6. Step 6: Final answer
    x = 1,274.83

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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.