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Finding the Fourth Proportional to 9,154.92, 13,732.30 and 3,311.48

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Solution

The fourth proportional to 9,154.92, 13,732.30 and 3,311.48 is: 4,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.92 : 13,732.30 = 3,311.48 : x
  2. Step 2: Convert to fraction form
    9,154.92/13,732.30 = 3,311.48/x
  3. Step 3: Cross multiply
    9,154.92x = 13,732.30 × 3,311.48
  4. Step 4: Simplify right side
    9,154.92x = 45,474,236.80
  5. Step 5: Solve for x
    x = 45,474,236.80/9,154.92
  6. Step 6: Final answer
    x = 4,967.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.