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Finding the Fourth Proportional to 2,480.76, 3,721.41 and 1,021.14

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Solution

The fourth proportional to 2,480.76, 3,721.41 and 1,021.14 is: 1,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.76 : 3,721.41 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    2,480.76/3,721.41 = 1,021.14/x
  3. Step 3: Cross multiply
    2,480.76x = 3,721.41 × 1,021.14
  4. Step 4: Simplify right side
    2,480.76x = 3,800,080.61
  5. Step 5: Solve for x
    x = 3,800,080.61/2,480.76
  6. Step 6: Final answer
    x = 1,531.82

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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.