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Finding the Fourth Proportional to 8,274.56, 12,391.68 and 7,976.48

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Solution

The fourth proportional to 8,274.56, 12,391.68 and 7,976.48 is: 11,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.56 : 12,391.68 = 7,976.48 : x
  2. Step 2: Convert to fraction form
    8,274.56/12,391.68 = 7,976.48/x
  3. Step 3: Cross multiply
    8,274.56x = 12,391.68 × 7,976.48
  4. Step 4: Simplify right side
    8,274.56x = 98,841,987.69
  5. Step 5: Solve for x
    x = 98,841,987.69/8,274.56
  6. Step 6: Final answer
    x = 11,945.29

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1.5x scale

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.