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Finding the Fourth Proportional to 1,983.39, 2,737.04 and 1,144.04

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Solution

The fourth proportional to 1,983.39, 2,737.04 and 1,144.04 is: 1,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.39 : 2,737.04 = 1,144.04 : x
  2. Step 2: Convert to fraction form
    1,983.39/2,737.04 = 1,144.04/x
  3. Step 3: Cross multiply
    1,983.39x = 2,737.04 × 1,144.04
  4. Step 4: Simplify right side
    1,983.39x = 3,131,283.24
  5. Step 5: Solve for x
    x = 3,131,283.24/1,983.39
  6. Step 6: Final answer
    x = 1,578.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.