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Finding the Fourth Proportional to 2,480.45, 3,721.14 and 815.04

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Solution

The fourth proportional to 2,480.45, 3,721.14 and 815.04 is: 1,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.45 : 3,721.14 = 815.04 : x
  2. Step 2: Convert to fraction form
    2,480.45/3,721.14 = 815.04/x
  3. Step 3: Cross multiply
    2,480.45x = 3,721.14 × 815.04
  4. Step 4: Simplify right side
    2,480.45x = 3,032,877.95
  5. Step 5: Solve for x
    x = 3,032,877.95/2,480.45
  6. Step 6: Final answer
    x = 1,222.72

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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.