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Finding the Fourth Proportional to 9,000, 13,499.52 and 3,452.88

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Solution

The fourth proportional to 9,000, 13,499.52 and 3,452.88 is: 5,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 13,499.52 = 3,452.88 : x
  2. Step 2: Convert to fraction form
    9,000/13,499.52 = 3,452.88/x
  3. Step 3: Cross multiply
    9,000x = 13,499.52 × 3,452.88
  4. Step 4: Simplify right side
    9,000x = 46,612,222.62
  5. Step 5: Solve for x
    x = 46,612,222.62/9,000
  6. Step 6: Final answer
    x = 5,179.14

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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.