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Finding the Fourth Proportional to 1,983.74, 2,737.56 and 1,099.60

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Solution

The fourth proportional to 1,983.74, 2,737.56 and 1,099.60 is: 1,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.74 : 2,737.56 = 1,099.60 : x
  2. Step 2: Convert to fraction form
    1,983.74/2,737.56 = 1,099.60/x
  3. Step 3: Cross multiply
    1,983.74x = 2,737.56 × 1,099.60
  4. Step 4: Simplify right side
    1,983.74x = 3,010,220.98
  5. Step 5: Solve for x
    x = 3,010,220.98/1,983.74
  6. Step 6: Final answer
    x = 1,517.45

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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.