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Finding the Fourth Proportional to 9,105, 13,644.80 and 6,882

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Solution

The fourth proportional to 9,105, 13,644.80 and 6,882 is: 10,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 13,644.80 = 6,882 : x
  2. Step 2: Convert to fraction form
    9,105/13,644.80 = 6,882/x
  3. Step 3: Cross multiply
    9,105x = 13,644.80 × 6,882
  4. Step 4: Simplify right side
    9,105x = 93,903,513.60
  5. Step 5: Solve for x
    x = 93,903,513.60/9,105
  6. Step 6: Final answer
    x = 10,313.40

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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.