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Finding the Fourth Proportional to 2,512.67, 3,769.01 and 1,646.78

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Solution

The fourth proportional to 2,512.67, 3,769.01 and 1,646.78 is: 2,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.67 : 3,769.01 = 1,646.78 : x
  2. Step 2: Convert to fraction form
    2,512.67/3,769.01 = 1,646.78/x
  3. Step 3: Cross multiply
    2,512.67x = 3,769.01 × 1,646.78
  4. Step 4: Simplify right side
    2,512.67x = 6,206,722.05
  5. Step 5: Solve for x
    x = 6,206,722.05/2,512.67
  6. Step 6: Final answer
    x = 2,470.17

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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.