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Finding the Fourth Proportional to 9,162.40, 13,745.40 and 3,318.88

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Solution

The fourth proportional to 9,162.40, 13,745.40 and 3,318.88 is: 4,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.40 : 13,745.40 = 3,318.88 : x
  2. Step 2: Convert to fraction form
    9,162.40/13,745.40 = 3,318.88/x
  3. Step 3: Cross multiply
    9,162.40x = 13,745.40 × 3,318.88
  4. Step 4: Simplify right side
    9,162.40x = 45,619,333.15
  5. Step 5: Solve for x
    x = 45,619,333.15/9,162.40
  6. Step 6: Final answer
    x = 4,978.97

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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.