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Finding the Fourth Proportional to 2,583.47, 3,872.92 and 939.72

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Solution

The fourth proportional to 2,583.47, 3,872.92 and 939.72 is: 1,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.47 : 3,872.92 = 939.72 : x
  2. Step 2: Convert to fraction form
    2,583.47/3,872.92 = 939.72/x
  3. Step 3: Cross multiply
    2,583.47x = 3,872.92 × 939.72
  4. Step 4: Simplify right side
    2,583.47x = 3,639,472.56
  5. Step 5: Solve for x
    x = 3,639,472.56/2,583.47
  6. Step 6: Final answer
    x = 1,408.76

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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.