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Finding the Fourth Proportional to 12,606, 17,400.60 and 7,638

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Solution

The fourth proportional to 12,606, 17,400.60 and 7,638 is: 10,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606 : 17,400.60 = 7,638 : x
  2. Step 2: Convert to fraction form
    12,606/17,400.60 = 7,638/x
  3. Step 3: Cross multiply
    12,606x = 17,400.60 × 7,638
  4. Step 4: Simplify right side
    12,606x = 132,905,782.80
  5. Step 5: Solve for x
    x = 132,905,782.80/12,606
  6. Step 6: Final answer
    x = 10,543.06

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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.