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Finding the Fourth Proportional to 9,449.80, 13,040.10 and 5,257.96

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Solution

The fourth proportional to 9,449.80, 13,040.10 and 5,257.96 is: 7,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.80 : 13,040.10 = 5,257.96 : x
  2. Step 2: Convert to fraction form
    9,449.80/13,040.10 = 5,257.96/x
  3. Step 3: Cross multiply
    9,449.80x = 13,040.10 × 5,257.96
  4. Step 4: Simplify right side
    9,449.80x = 68,564,324.20
  5. Step 5: Solve for x
    x = 68,564,324.20/9,449.80
  6. Step 6: Final answer
    x = 7,255.64

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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.