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Finding the Fourth Proportional to 8,616.75, 11,887.11 and 5,631.48

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Solution

The fourth proportional to 8,616.75, 11,887.11 and 5,631.48 is: 7,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.75 : 11,887.11 = 5,631.48 : x
  2. Step 2: Convert to fraction form
    8,616.75/11,887.11 = 5,631.48/x
  3. Step 3: Cross multiply
    8,616.75x = 11,887.11 × 5,631.48
  4. Step 4: Simplify right side
    8,616.75x = 66,942,022.22
  5. Step 5: Solve for x
    x = 66,942,022.22/8,616.75
  6. Step 6: Final answer
    x = 7,768.82

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1.5x scale

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.