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Finding the Fourth Proportional to 8,164.88, 11,255.27 and 6,393.41

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Solution

The fourth proportional to 8,164.88, 11,255.27 and 6,393.41 is: 8,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.88 : 11,255.27 = 6,393.41 : x
  2. Step 2: Convert to fraction form
    8,164.88/11,255.27 = 6,393.41/x
  3. Step 3: Cross multiply
    8,164.88x = 11,255.27 × 6,393.41
  4. Step 4: Simplify right side
    8,164.88x = 71,959,555.77
  5. Step 5: Solve for x
    x = 71,959,555.77/8,164.88
  6. Step 6: Final answer
    x = 8,813.30

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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.