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Finding the Fourth Proportional to 1,902.13, 2,854.27 and 876.13

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Solution

The fourth proportional to 1,902.13, 2,854.27 and 876.13 is: 1,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.13 : 2,854.27 = 876.13 : x
  2. Step 2: Convert to fraction form
    1,902.13/2,854.27 = 876.13/x
  3. Step 3: Cross multiply
    1,902.13x = 2,854.27 × 876.13
  4. Step 4: Simplify right side
    1,902.13x = 2,500,711.58
  5. Step 5: Solve for x
    x = 2,500,711.58/1,902.13
  6. Step 6: Final answer
    x = 1,314.69

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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.