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Finding the Fourth Proportional to 12,756, 17,604.36 and 7,168.08

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Solution

The fourth proportional to 12,756, 17,604.36 and 7,168.08 is: 9,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756 : 17,604.36 = 7,168.08 : x
  2. Step 2: Convert to fraction form
    12,756/17,604.36 = 7,168.08/x
  3. Step 3: Cross multiply
    12,756x = 17,604.36 × 7,168.08
  4. Step 4: Simplify right side
    12,756x = 126,189,460.83
  5. Step 5: Solve for x
    x = 126,189,460.83/12,756
  6. Step 6: Final answer
    x = 9,892.56

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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.