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Finding the Fourth Proportional to 2,512.87, 3,769.21 and 869.47

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Solution

The fourth proportional to 2,512.87, 3,769.21 and 869.47 is: 1,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.87 : 3,769.21 = 869.47 : x
  2. Step 2: Convert to fraction form
    2,512.87/3,769.21 = 869.47/x
  3. Step 3: Cross multiply
    2,512.87x = 3,769.21 × 869.47
  4. Step 4: Simplify right side
    2,512.87x = 3,277,215.02
  5. Step 5: Solve for x
    x = 3,277,215.02/2,512.87
  6. Step 6: Final answer
    x = 1,304.17

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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.