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Finding the Fourth Proportional to 8,396.00, 11,512.80 and 8,177.30

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Solution

The fourth proportional to 8,396.00, 11,512.80 and 8,177.30 is: 11,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.00 : 11,512.80 = 8,177.30 : x
  2. Step 2: Convert to fraction form
    8,396.00/11,512.80 = 8,177.30/x
  3. Step 3: Cross multiply
    8,396.00x = 11,512.80 × 8,177.30
  4. Step 4: Simplify right side
    8,396.00x = 94,143,605.05
  5. Step 5: Solve for x
    x = 94,143,605.05/8,396.00
  6. Step 6: Final answer
    x = 11,212.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.