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Finding the Fourth Proportional to 1,798.20, 2,691.90 and 1,691.40

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Solution

The fourth proportional to 1,798.20, 2,691.90 and 1,691.40 is: 2,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.20 : 2,691.90 = 1,691.40 : x
  2. Step 2: Convert to fraction form
    1,798.20/2,691.90 = 1,691.40/x
  3. Step 3: Cross multiply
    1,798.20x = 2,691.90 × 1,691.40
  4. Step 4: Simplify right side
    1,798.20x = 4,553,079.66
  5. Step 5: Solve for x
    x = 4,553,079.66/1,798.20
  6. Step 6: Final answer
    x = 2,532.02

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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.