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Finding the Fourth Proportional to 12,604, 17,397.84 and 7,636

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Solution

The fourth proportional to 12,604, 17,397.84 and 7,636 is: 10,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604 : 17,397.84 = 7,636 : x
  2. Step 2: Convert to fraction form
    12,604/17,397.84 = 7,636/x
  3. Step 3: Cross multiply
    12,604x = 17,397.84 × 7,636
  4. Step 4: Simplify right side
    12,604x = 132,849,906.24
  5. Step 5: Solve for x
    x = 132,849,906.24/12,604
  6. Step 6: Final answer
    x = 10,540.30

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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.