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Finding the Fourth Proportional to 1,997.65, 2,981.69 and 1,874.53

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Solution

The fourth proportional to 1,997.65, 2,981.69 and 1,874.53 is: 2,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.65 : 2,981.69 = 1,874.53 : x
  2. Step 2: Convert to fraction form
    1,997.65/2,981.69 = 1,874.53/x
  3. Step 3: Cross multiply
    1,997.65x = 2,981.69 × 1,874.53
  4. Step 4: Simplify right side
    1,997.65x = 5,589,267.36
  5. Step 5: Solve for x
    x = 5,589,267.36/1,997.65
  6. Step 6: Final answer
    x = 2,797.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.