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Finding the Fourth Proportional to 1,990.17, 2,986.16 and 821.03

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Solution

The fourth proportional to 1,990.17, 2,986.16 and 821.03 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.17 : 2,986.16 = 821.03 : x
  2. Step 2: Convert to fraction form
    1,990.17/2,986.16 = 821.03/x
  3. Step 3: Cross multiply
    1,990.17x = 2,986.16 × 821.03
  4. Step 4: Simplify right side
    1,990.17x = 2,451,707.91
  5. Step 5: Solve for x
    x = 2,451,707.91/1,990.17
  6. Step 6: Final answer
    x = 1,231.91

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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.