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Finding the Fourth Proportional to 10,980.96, 16,452 and 9,121.20

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Solution

The fourth proportional to 10,980.96, 16,452 and 9,121.20 is: 13,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.96 : 16,452 = 9,121.20 : x
  2. Step 2: Convert to fraction form
    10,980.96/16,452 = 9,121.20/x
  3. Step 3: Cross multiply
    10,980.96x = 16,452 × 9,121.20
  4. Step 4: Simplify right side
    10,980.96x = 150,061,982.40
  5. Step 5: Solve for x
    x = 150,061,982.40/10,980.96
  6. Step 6: Final answer
    x = 13,665.65

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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.