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Finding the Fourth Proportional to 8,638, 11,920.80 and 5,104.24

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Solution

The fourth proportional to 8,638, 11,920.80 and 5,104.24 is: 7,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 11,920.80 = 5,104.24 : x
  2. Step 2: Convert to fraction form
    8,638/11,920.80 = 5,104.24/x
  3. Step 3: Cross multiply
    8,638x = 11,920.80 × 5,104.24
  4. Step 4: Simplify right side
    8,638x = 60,846,624.19
  5. Step 5: Solve for x
    x = 60,846,624.19/8,638
  6. Step 6: Final answer
    x = 7,044.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.