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Finding the Fourth Proportional to 9,105, 13,663.20 and 3,910.86

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Solution

The fourth proportional to 9,105, 13,663.20 and 3,910.86 is: 5,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105 : 13,663.20 = 3,910.86 : x
  2. Step 2: Convert to fraction form
    9,105/13,663.20 = 3,910.86/x
  3. Step 3: Cross multiply
    9,105x = 13,663.20 × 3,910.86
  4. Step 4: Simplify right side
    9,105x = 53,434,862.35
  5. Step 5: Solve for x
    x = 53,434,862.35/9,105
  6. Step 6: Final answer
    x = 5,868.74

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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.