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Finding the Fourth Proportional to 2,352.92, 3,247.20 and 1,305.20

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Solution

The fourth proportional to 2,352.92, 3,247.20 and 1,305.20 is: 1,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.92 : 3,247.20 = 1,305.20 : x
  2. Step 2: Convert to fraction form
    2,352.92/3,247.20 = 1,305.20/x
  3. Step 3: Cross multiply
    2,352.92x = 3,247.20 × 1,305.20
  4. Step 4: Simplify right side
    2,352.92x = 4,238,245.44
  5. Step 5: Solve for x
    x = 4,238,245.44/2,352.92
  6. Step 6: Final answer
    x = 1,801.27

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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.