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Finding the Fourth Proportional to 2,812.34, 3,882.34 and 1,633.18

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Solution

The fourth proportional to 2,812.34, 3,882.34 and 1,633.18 is: 2,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.34 : 3,882.34 = 1,633.18 : x
  2. Step 2: Convert to fraction form
    2,812.34/3,882.34 = 1,633.18/x
  3. Step 3: Cross multiply
    2,812.34x = 3,882.34 × 1,633.18
  4. Step 4: Simplify right side
    2,812.34x = 6,340,560.04
  5. Step 5: Solve for x
    x = 6,340,560.04/2,812.34
  6. Step 6: Final answer
    x = 2,254.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.