Home / 2,282.38-3,423.96-722.36

Finding the Fourth Proportional to 2,282.38, 3,423.96 and 722.36

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Solution

The fourth proportional to 2,282.38, 3,423.96 and 722.36 is: 1,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.38 : 3,423.96 = 722.36 : x
  2. Step 2: Convert to fraction form
    2,282.38/3,423.96 = 722.36/x
  3. Step 3: Cross multiply
    2,282.38x = 3,423.96 × 722.36
  4. Step 4: Simplify right side
    2,282.38x = 2,473,325.61
  5. Step 5: Solve for x
    x = 2,473,325.61/2,282.38
  6. Step 6: Final answer
    x = 1,083.66

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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.