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Finding the Fourth Proportional to 9,638, 13,220.46 and 9,554.80

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Solution

The fourth proportional to 9,638, 13,220.46 and 9,554.80 is: 13,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 13,220.46 = 9,554.80 : x
  2. Step 2: Convert to fraction form
    9,638/13,220.46 = 9,554.80/x
  3. Step 3: Cross multiply
    9,638x = 13,220.46 × 9,554.80
  4. Step 4: Simplify right side
    9,638x = 126,318,851.21
  5. Step 5: Solve for x
    x = 126,318,851.21/9,638
  6. Step 6: Final answer
    x = 13,106.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.