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Finding the Fourth Proportional to 1,829.27, 2,742.28 and 732.88

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Solution

The fourth proportional to 1,829.27, 2,742.28 and 732.88 is: 1,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.27 : 2,742.28 = 732.88 : x
  2. Step 2: Convert to fraction form
    1,829.27/2,742.28 = 732.88/x
  3. Step 3: Cross multiply
    1,829.27x = 2,742.28 × 732.88
  4. Step 4: Simplify right side
    1,829.27x = 2,009,773.03
  5. Step 5: Solve for x
    x = 2,009,773.03/1,829.27
  6. Step 6: Final answer
    x = 1,098.68

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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.