Home / 1,882.27-2,821.71-841.42

Finding the Fourth Proportional to 1,882.27, 2,821.71 and 841.42

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Solution

The fourth proportional to 1,882.27, 2,821.71 and 841.42 is: 1,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.27 : 2,821.71 = 841.42 : x
  2. Step 2: Convert to fraction form
    1,882.27/2,821.71 = 841.42/x
  3. Step 3: Cross multiply
    1,882.27x = 2,821.71 × 841.42
  4. Step 4: Simplify right side
    1,882.27x = 2,374,229.12
  5. Step 5: Solve for x
    x = 2,374,229.12/1,882.27
  6. Step 6: Final answer
    x = 1,261.37

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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.