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Finding the Fourth Proportional to 1,997.91, 2,757.12 and 1,113.69

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Solution

The fourth proportional to 1,997.91, 2,757.12 and 1,113.69 is: 1,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.91 : 2,757.12 = 1,113.69 : x
  2. Step 2: Convert to fraction form
    1,997.91/2,757.12 = 1,113.69/x
  3. Step 3: Cross multiply
    1,997.91x = 2,757.12 × 1,113.69
  4. Step 4: Simplify right side
    1,997.91x = 3,070,583.14
  5. Step 5: Solve for x
    x = 3,070,583.14/1,997.91
  6. Step 6: Final answer
    x = 1,536.90

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1.5x scale

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.