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Finding the Fourth Proportional to 1,983.92, 2,737.50 and 1,144.66

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Solution

The fourth proportional to 1,983.92, 2,737.50 and 1,144.66 is: 1,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.92 : 2,737.50 = 1,144.66 : x
  2. Step 2: Convert to fraction form
    1,983.92/2,737.50 = 1,144.66/x
  3. Step 3: Cross multiply
    1,983.92x = 2,737.50 × 1,144.66
  4. Step 4: Simplify right side
    1,983.92x = 3,133,493.06
  5. Step 5: Solve for x
    x = 3,133,493.06/1,983.92
  6. Step 6: Final answer
    x = 1,579.45

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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.