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Finding the Fourth Proportional to 1,442, 1,989.96 and 821

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Solution

The fourth proportional to 1,442, 1,989.96 and 821 is: 1,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442 : 1,989.96 = 821 : x
  2. Step 2: Convert to fraction form
    1,442/1,989.96 = 821/x
  3. Step 3: Cross multiply
    1,442x = 1,989.96 × 821
  4. Step 4: Simplify right side
    1,442x = 1,633,757.16
  5. Step 5: Solve for x
    x = 1,633,757.16/1,442
  6. Step 6: Final answer
    x = 1,132.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.