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Finding the Fourth Proportional to 6,750, 10,126.80 and 2,133

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Solution

The fourth proportional to 6,750, 10,126.80 and 2,133 is: 3,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750 : 10,126.80 = 2,133 : x
  2. Step 2: Convert to fraction form
    6,750/10,126.80 = 2,133/x
  3. Step 3: Cross multiply
    6,750x = 10,126.80 × 2,133
  4. Step 4: Simplify right side
    6,750x = 21,600,464.40
  5. Step 5: Solve for x
    x = 21,600,464.40/6,750
  6. Step 6: Final answer
    x = 3,200.07

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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.