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Finding the Fourth Proportional to 7,976.75, 11,963.57 and 7,581.60

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Solution

The fourth proportional to 7,976.75, 11,963.57 and 7,581.60 is: 11,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.75 : 11,963.57 = 7,581.60 : x
  2. Step 2: Convert to fraction form
    7,976.75/11,963.57 = 7,581.60/x
  3. Step 3: Cross multiply
    7,976.75x = 11,963.57 × 7,581.60
  4. Step 4: Simplify right side
    7,976.75x = 90,702,964.40
  5. Step 5: Solve for x
    x = 90,702,964.40/7,976.75
  6. Step 6: Final answer
    x = 11,370.92

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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.