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Finding the Fourth Proportional to 2,478.68, 3,721.80 and 2,115.80

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Solution

The fourth proportional to 2,478.68, 3,721.80 and 2,115.80 is: 3,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.68 : 3,721.80 = 2,115.80 : x
  2. Step 2: Convert to fraction form
    2,478.68/3,721.80 = 2,115.80/x
  3. Step 3: Cross multiply
    2,478.68x = 3,721.80 × 2,115.80
  4. Step 4: Simplify right side
    2,478.68x = 7,874,584.44
  5. Step 5: Solve for x
    x = 7,874,584.44/2,478.68
  6. Step 6: Final answer
    x = 3,176.93

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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.