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Finding the Fourth Proportional to 1,422.80, 2,135.17 and 873.31

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Solution

The fourth proportional to 1,422.80, 2,135.17 and 873.31 is: 1,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.80 : 2,135.17 = 873.31 : x
  2. Step 2: Convert to fraction form
    1,422.80/2,135.17 = 873.31/x
  3. Step 3: Cross multiply
    1,422.80x = 2,135.17 × 873.31
  4. Step 4: Simplify right side
    1,422.80x = 1,864,662.16
  5. Step 5: Solve for x
    x = 1,864,662.16/1,422.80
  6. Step 6: Final answer
    x = 1,310.56

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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.