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Finding the Fourth Proportional to 3,382, 5,074.16 and 1,822.17

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Solution

The fourth proportional to 3,382, 5,074.16 and 1,822.17 is: 2,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 5,074.16 = 1,822.17 : x
  2. Step 2: Convert to fraction form
    3,382/5,074.16 = 1,822.17/x
  3. Step 3: Cross multiply
    3,382x = 5,074.16 × 1,822.17
  4. Step 4: Simplify right side
    3,382x = 9,245,947.65
  5. Step 5: Solve for x
    x = 9,245,947.65/3,382
  6. Step 6: Final answer
    x = 2,733.87

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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.