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Finding the Fourth Proportional to 9,638.10, 14,375.84 and 8,789.22

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Solution

The fourth proportional to 9,638.10, 14,375.84 and 8,789.22 is: 13,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.10 : 14,375.84 = 8,789.22 : x
  2. Step 2: Convert to fraction form
    9,638.10/14,375.84 = 8,789.22/x
  3. Step 3: Cross multiply
    9,638.10x = 14,375.84 × 8,789.22
  4. Step 4: Simplify right side
    9,638.10x = 126,352,376.50
  5. Step 5: Solve for x
    x = 126,352,376.50/9,638.10
  6. Step 6: Final answer
    x = 13,109.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.