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Finding the Fourth Proportional to 5,395.44, 8,091.78 and 1,932.72

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Solution

The fourth proportional to 5,395.44, 8,091.78 and 1,932.72 is: 2,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.44 : 8,091.78 = 1,932.72 : x
  2. Step 2: Convert to fraction form
    5,395.44/8,091.78 = 1,932.72/x
  3. Step 3: Cross multiply
    5,395.44x = 8,091.78 × 1,932.72
  4. Step 4: Simplify right side
    5,395.44x = 15,639,145.04
  5. Step 5: Solve for x
    x = 15,639,145.04/5,395.44
  6. Step 6: Final answer
    x = 2,898.59

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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.