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Finding the Fourth Proportional to 2,082.94, 3,121.97 and 848.95

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Solution

The fourth proportional to 2,082.94, 3,121.97 and 848.95 is: 1,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.94 : 3,121.97 = 848.95 : x
  2. Step 2: Convert to fraction form
    2,082.94/3,121.97 = 848.95/x
  3. Step 3: Cross multiply
    2,082.94x = 3,121.97 × 848.95
  4. Step 4: Simplify right side
    2,082.94x = 2,650,384.38
  5. Step 5: Solve for x
    x = 2,650,384.38/2,082.94
  6. Step 6: Final answer
    x = 1,272.43

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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.