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Finding the Fourth Proportional to 1,983.28, 2,737.02 and 1,237.24

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Solution

The fourth proportional to 1,983.28, 2,737.02 and 1,237.24 is: 1,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.28 : 2,737.02 = 1,237.24 : x
  2. Step 2: Convert to fraction form
    1,983.28/2,737.02 = 1,237.24/x
  3. Step 3: Cross multiply
    1,983.28x = 2,737.02 × 1,237.24
  4. Step 4: Simplify right side
    1,983.28x = 3,386,350.62
  5. Step 5: Solve for x
    x = 3,386,350.62/1,983.28
  6. Step 6: Final answer
    x = 1,707.45

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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.