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Finding the Fourth Proportional to 1,992.62, 2,986.36 and 821.30

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Solution

The fourth proportional to 1,992.62, 2,986.36 and 821.30 is: 1,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.62 : 2,986.36 = 821.30 : x
  2. Step 2: Convert to fraction form
    1,992.62/2,986.36 = 821.30/x
  3. Step 3: Cross multiply
    1,992.62x = 2,986.36 × 821.30
  4. Step 4: Simplify right side
    1,992.62x = 2,452,680.48
  5. Step 5: Solve for x
    x = 2,452,680.48/1,992.62
  6. Step 6: Final answer
    x = 1,230.88

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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.