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Finding the Fourth Proportional to 2,480.90, 3,721.43 and 815.06

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Solution

The fourth proportional to 2,480.90, 3,721.43 and 815.06 is: 1,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.90 : 3,721.43 = 815.06 : x
  2. Step 2: Convert to fraction form
    2,480.90/3,721.43 = 815.06/x
  3. Step 3: Cross multiply
    2,480.90x = 3,721.43 × 815.06
  4. Step 4: Simplify right side
    2,480.90x = 3,033,175.38
  5. Step 5: Solve for x
    x = 3,033,175.38/2,480.90
  6. Step 6: Final answer
    x = 1,222.61

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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.