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Finding the Fourth Proportional to 10,227, 15,340.07 and 3,206.87

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Solution

The fourth proportional to 10,227, 15,340.07 and 3,206.87 is: 4,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227 : 15,340.07 = 3,206.87 : x
  2. Step 2: Convert to fraction form
    10,227/15,340.07 = 3,206.87/x
  3. Step 3: Cross multiply
    10,227x = 15,340.07 × 3,206.87
  4. Step 4: Simplify right side
    10,227x = 49,193,517.55
  5. Step 5: Solve for x
    x = 49,193,517.55/10,227
  6. Step 6: Final answer
    x = 4,810.16

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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.