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Finding the Fourth Proportional to 1,819.54, 2,729.66 and 832.42

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Solution

The fourth proportional to 1,819.54, 2,729.66 and 832.42 is: 1,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.54 : 2,729.66 = 832.42 : x
  2. Step 2: Convert to fraction form
    1,819.54/2,729.66 = 832.42/x
  3. Step 3: Cross multiply
    1,819.54x = 2,729.66 × 832.42
  4. Step 4: Simplify right side
    1,819.54x = 2,272,223.58
  5. Step 5: Solve for x
    x = 2,272,223.58/1,819.54
  6. Step 6: Final answer
    x = 1,248.79

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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.