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Finding the Fourth Proportional to 8,161.00, 11,265.62 and 5,512.00

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Solution

The fourth proportional to 8,161.00, 11,265.62 and 5,512.00 is: 7,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.00 : 11,265.62 = 5,512.00 : x
  2. Step 2: Convert to fraction form
    8,161.00/11,265.62 = 5,512.00/x
  3. Step 3: Cross multiply
    8,161.00x = 11,265.62 × 5,512.00
  4. Step 4: Simplify right side
    8,161.00x = 62,096,041.11
  5. Step 5: Solve for x
    x = 62,096,041.11/8,161.00
  6. Step 6: Final answer
    x = 7,608.88

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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.