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Finding the Fourth Proportional to 1,908.90, 2,862.42 and 868.86

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Solution

The fourth proportional to 1,908.90, 2,862.42 and 868.86 is: 1,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.90 : 2,862.42 = 868.86 : x
  2. Step 2: Convert to fraction form
    1,908.90/2,862.42 = 868.86/x
  3. Step 3: Cross multiply
    1,908.90x = 2,862.42 × 868.86
  4. Step 4: Simplify right side
    1,908.90x = 2,487,042.24
  5. Step 5: Solve for x
    x = 2,487,042.24/1,908.90
  6. Step 6: Final answer
    x = 1,302.87

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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.