Home / 2,281.32-3,423.20-982.69

Finding the Fourth Proportional to 2,281.32, 3,423.20 and 982.69

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Solution

The fourth proportional to 2,281.32, 3,423.20 and 982.69 is: 1,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.32 : 3,423.20 = 982.69 : x
  2. Step 2: Convert to fraction form
    2,281.32/3,423.20 = 982.69/x
  3. Step 3: Cross multiply
    2,281.32x = 3,423.20 × 982.69
  4. Step 4: Simplify right side
    2,281.32x = 3,363,930.94
  5. Step 5: Solve for x
    x = 3,363,930.94/2,281.32
  6. Step 6: Final answer
    x = 1,474.55

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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.