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Finding the Fourth Proportional to 2,352.96, 3,247.20 and 1,305

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Solution

The fourth proportional to 2,352.96, 3,247.20 and 1,305 is: 1,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.96 : 3,247.20 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,352.96/3,247.20 = 1,305/x
  3. Step 3: Cross multiply
    2,352.96x = 3,247.20 × 1,305
  4. Step 4: Simplify right side
    2,352.96x = 4,237,596
  5. Step 5: Solve for x
    x = 4,237,596/2,352.96
  6. Step 6: Final answer
    x = 1,800.96

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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.