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Finding the Fourth Proportional to 2,193.30, 3,287.80 and 876.66

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Solution

The fourth proportional to 2,193.30, 3,287.80 and 876.66 is: 1,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.30 : 3,287.80 = 876.66 : x
  2. Step 2: Convert to fraction form
    2,193.30/3,287.80 = 876.66/x
  3. Step 3: Cross multiply
    2,193.30x = 3,287.80 × 876.66
  4. Step 4: Simplify right side
    2,193.30x = 2,882,282.75
  5. Step 5: Solve for x
    x = 2,882,282.75/2,193.30
  6. Step 6: Final answer
    x = 1,314.13

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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.