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Finding the Fourth Proportional to 1,982.15, 2,974.22 and 813.02

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Solution

The fourth proportional to 1,982.15, 2,974.22 and 813.02 is: 1,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.15 : 2,974.22 = 813.02 : x
  2. Step 2: Convert to fraction form
    1,982.15/2,974.22 = 813.02/x
  3. Step 3: Cross multiply
    1,982.15x = 2,974.22 × 813.02
  4. Step 4: Simplify right side
    1,982.15x = 2,418,101.19
  5. Step 5: Solve for x
    x = 2,418,101.19/1,982.15
  6. Step 6: Final answer
    x = 1,219.94

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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.