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Finding the Fourth Proportional to 1,691.85, 2,538.99 and 998.10

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Solution

The fourth proportional to 1,691.85, 2,538.99 and 998.10 is: 1,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.85 : 2,538.99 = 998.10 : x
  2. Step 2: Convert to fraction form
    1,691.85/2,538.99 = 998.10/x
  3. Step 3: Cross multiply
    1,691.85x = 2,538.99 × 998.10
  4. Step 4: Simplify right side
    1,691.85x = 2,534,165.92
  5. Step 5: Solve for x
    x = 2,534,165.92/1,691.85
  6. Step 6: Final answer
    x = 1,497.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.