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Finding the Fourth Proportional to 12,759, 19,104.20 and 7,204.04

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Solution

The fourth proportional to 12,759, 19,104.20 and 7,204.04 is: 10,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759 : 19,104.20 = 7,204.04 : x
  2. Step 2: Convert to fraction form
    12,759/19,104.20 = 7,204.04/x
  3. Step 3: Cross multiply
    12,759x = 19,104.20 × 7,204.04
  4. Step 4: Simplify right side
    12,759x = 137,627,420.97
  5. Step 5: Solve for x
    x = 137,627,420.97/12,759
  6. Step 6: Final answer
    x = 10,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.