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Finding the Fourth Proportional to 1,998.38, 2,758.02 and 1,159.22

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Solution

The fourth proportional to 1,998.38, 2,758.02 and 1,159.22 is: 1,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.38 : 2,758.02 = 1,159.22 : x
  2. Step 2: Convert to fraction form
    1,998.38/2,758.02 = 1,159.22/x
  3. Step 3: Cross multiply
    1,998.38x = 2,758.02 × 1,159.22
  4. Step 4: Simplify right side
    1,998.38x = 3,197,151.94
  5. Step 5: Solve for x
    x = 3,197,151.94/1,998.38
  6. Step 6: Final answer
    x = 1,599.87

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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.