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Finding the Fourth Proportional to 1,990.52, 2,982 and 1,917.44

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Solution

The fourth proportional to 1,990.52, 2,982 and 1,917.44 is: 2,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.52 : 2,982 = 1,917.44 : x
  2. Step 2: Convert to fraction form
    1,990.52/2,982 = 1,917.44/x
  3. Step 3: Cross multiply
    1,990.52x = 2,982 × 1,917.44
  4. Step 4: Simplify right side
    1,990.52x = 5,717,806.08
  5. Step 5: Solve for x
    x = 5,717,806.08/1,990.52
  6. Step 6: Final answer
    x = 2,872.52

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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.