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Finding the Fourth Proportional to 9,255.76, 13,871.72 and 3,405.44

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Solution

The fourth proportional to 9,255.76, 13,871.72 and 3,405.44 is: 5,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.76 : 13,871.72 = 3,405.44 : x
  2. Step 2: Convert to fraction form
    9,255.76/13,871.72 = 3,405.44/x
  3. Step 3: Cross multiply
    9,255.76x = 13,871.72 × 3,405.44
  4. Step 4: Simplify right side
    9,255.76x = 47,239,310.16
  5. Step 5: Solve for x
    x = 47,239,310.16/9,255.76
  6. Step 6: Final answer
    x = 5,103.77

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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.