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Finding the Fourth Proportional to 2,472.97, 3,412.60 and 1,478.80

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Solution

The fourth proportional to 2,472.97, 3,412.60 and 1,478.80 is: 2,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.97 : 3,412.60 = 1,478.80 : x
  2. Step 2: Convert to fraction form
    2,472.97/3,412.60 = 1,478.80/x
  3. Step 3: Cross multiply
    2,472.97x = 3,412.60 × 1,478.80
  4. Step 4: Simplify right side
    2,472.97x = 5,046,540.65
  5. Step 5: Solve for x
    x = 5,046,540.65/2,472.97
  6. Step 6: Final answer
    x = 2,040.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.