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Finding the Fourth Proportional to 2,512.82, 3,769.71 and 869.30

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Solution

The fourth proportional to 2,512.82, 3,769.71 and 869.30 is: 1,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.82 : 3,769.71 = 869.30 : x
  2. Step 2: Convert to fraction form
    2,512.82/3,769.71 = 869.30/x
  3. Step 3: Cross multiply
    2,512.82x = 3,769.71 × 869.30
  4. Step 4: Simplify right side
    2,512.82x = 3,276,990.05
  5. Step 5: Solve for x
    x = 3,276,990.05/2,512.82
  6. Step 6: Final answer
    x = 1,304.11

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1.5x scale

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.