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Finding the Fourth Proportional to 2,480.95, 3,723.22 and 921.17

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Solution

The fourth proportional to 2,480.95, 3,723.22 and 921.17 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.95 : 3,723.22 = 921.17 : x
  2. Step 2: Convert to fraction form
    2,480.95/3,723.22 = 921.17/x
  3. Step 3: Cross multiply
    2,480.95x = 3,723.22 × 921.17
  4. Step 4: Simplify right side
    2,480.95x = 3,429,718.57
  5. Step 5: Solve for x
    x = 3,429,718.57/2,480.95
  6. Step 6: Final answer
    x = 1,382.42

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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.