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Finding the Fourth Proportional to 1,998.69, 2,757.96 and 1,114.47

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Solution

The fourth proportional to 1,998.69, 2,757.96 and 1,114.47 is: 1,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.69 : 2,757.96 = 1,114.47 : x
  2. Step 2: Convert to fraction form
    1,998.69/2,757.96 = 1,114.47/x
  3. Step 3: Cross multiply
    1,998.69x = 2,757.96 × 1,114.47
  4. Step 4: Simplify right side
    1,998.69x = 3,073,663.68
  5. Step 5: Solve for x
    x = 3,073,663.68/1,998.69
  6. Step 6: Final answer
    x = 1,537.84

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Double scale
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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.