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Finding the Fourth Proportional to 9,000, 13,499.69 and 2,759.96

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Solution

The fourth proportional to 9,000, 13,499.69 and 2,759.96 is: 4,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 13,499.69 = 2,759.96 : x
  2. Step 2: Convert to fraction form
    9,000/13,499.69 = 2,759.96/x
  3. Step 3: Cross multiply
    9,000x = 13,499.69 × 2,759.96
  4. Step 4: Simplify right side
    9,000x = 37,258,523.11
  5. Step 5: Solve for x
    x = 37,258,523.11/9,000
  6. Step 6: Final answer
    x = 4,139.84

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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.