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Finding the Fourth Proportional to 1,983.42, 2,737.53 and 1,319.94

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Solution

The fourth proportional to 1,983.42, 2,737.53 and 1,319.94 is: 1,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.42 : 2,737.53 = 1,319.94 : x
  2. Step 2: Convert to fraction form
    1,983.42/2,737.53 = 1,319.94/x
  3. Step 3: Cross multiply
    1,983.42x = 2,737.53 × 1,319.94
  4. Step 4: Simplify right side
    1,983.42x = 3,613,375.35
  5. Step 5: Solve for x
    x = 3,613,375.35/1,983.42
  6. Step 6: Final answer
    x = 1,821.79

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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.