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Finding the Fourth Proportional to 9,000, 13,500.72 and 2,844

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Solution

The fourth proportional to 9,000, 13,500.72 and 2,844 is: 4,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 13,500.72 = 2,844 : x
  2. Step 2: Convert to fraction form
    9,000/13,500.72 = 2,844/x
  3. Step 3: Cross multiply
    9,000x = 13,500.72 × 2,844
  4. Step 4: Simplify right side
    9,000x = 38,396,047.68
  5. Step 5: Solve for x
    x = 38,396,047.68/9,000
  6. Step 6: Final answer
    x = 4,266.23

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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.