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Finding the Fourth Proportional to 8,278.96, 12,351.71 and 7,976.43

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Solution

The fourth proportional to 8,278.96, 12,351.71 and 7,976.43 is: 11,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.96 : 12,351.71 = 7,976.43 : x
  2. Step 2: Convert to fraction form
    8,278.96/12,351.71 = 7,976.43/x
  3. Step 3: Cross multiply
    8,278.96x = 12,351.71 × 7,976.43
  4. Step 4: Simplify right side
    8,278.96x = 98,522,550.20
  5. Step 5: Solve for x
    x = 98,522,550.20/8,278.96
  6. Step 6: Final answer
    x = 11,900.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.