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Finding the Fourth Proportional to 6,750, 10,125 and 2,366.28

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Solution

The fourth proportional to 6,750, 10,125 and 2,366.28 is: 3,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 10,125 = 2,366.28 : x
  2. Step 2: Convert to fraction form
    6,750/10,125 = 2,366.28/x
  3. Step 3: Cross multiply
    6,750x = 10,125 × 2,366.28
  4. Step 4: Simplify right side
    6,750x = 23,958,585.00
  5. Step 5: Solve for x
    x = 23,958,585.00/6,750
  6. Step 6: Final answer
    x = 3,549.42

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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.