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Finding the Fourth Proportional to 8,161, 12,242.37 and 2,612.36

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Solution

The fourth proportional to 8,161, 12,242.37 and 2,612.36 is: 3,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161 : 12,242.37 = 2,612.36 : x
  2. Step 2: Convert to fraction form
    8,161/12,242.37 = 2,612.36/x
  3. Step 3: Cross multiply
    8,161x = 12,242.37 × 2,612.36
  4. Step 4: Simplify right side
    8,161x = 31,981,477.69
  5. Step 5: Solve for x
    x = 31,981,477.69/8,161
  6. Step 6: Final answer
    x = 3,918.82

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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.