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Finding the Fourth Proportional to 12,402.48, 17,112.80 and 7,366

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Solution

The fourth proportional to 12,402.48, 17,112.80 and 7,366 is: 10,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.48 : 17,112.80 = 7,366 : x
  2. Step 2: Convert to fraction form
    12,402.48/17,112.80 = 7,366/x
  3. Step 3: Cross multiply
    12,402.48x = 17,112.80 × 7,366
  4. Step 4: Simplify right side
    12,402.48x = 126,052,884.80
  5. Step 5: Solve for x
    x = 126,052,884.80/12,402.48
  6. Step 6: Final answer
    x = 10,163.52

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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.