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Finding the Fourth Proportional to 2,142.64, 3,211.80 and 843.13

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Solution

The fourth proportional to 2,142.64, 3,211.80 and 843.13 is: 1,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 3,211.80 = 843.13 : x
  2. Step 2: Convert to fraction form
    2,142.64/3,211.80 = 843.13/x
  3. Step 3: Cross multiply
    2,142.64x = 3,211.80 × 843.13
  4. Step 4: Simplify right side
    2,142.64x = 2,707,964.93
  5. Step 5: Solve for x
    x = 2,707,964.93/2,142.64
  6. Step 6: Final answer
    x = 1,263.85

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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.