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Finding the Fourth Proportional to 2,854.74, 4,281.36 and 980.61

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Solution

The fourth proportional to 2,854.74, 4,281.36 and 980.61 is: 1,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.74 : 4,281.36 = 980.61 : x
  2. Step 2: Convert to fraction form
    2,854.74/4,281.36 = 980.61/x
  3. Step 3: Cross multiply
    2,854.74x = 4,281.36 × 980.61
  4. Step 4: Simplify right side
    2,854.74x = 4,198,324.70
  5. Step 5: Solve for x
    x = 4,198,324.70/2,854.74
  6. Step 6: Final answer
    x = 1,470.65

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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.