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Finding the Fourth Proportional to 8,164, 11,261.80 and 5,327.36

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Solution

The fourth proportional to 8,164, 11,261.80 and 5,327.36 is: 7,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 11,261.80 = 5,327.36 : x
  2. Step 2: Convert to fraction form
    8,164/11,261.80 = 5,327.36/x
  3. Step 3: Cross multiply
    8,164x = 11,261.80 × 5,327.36
  4. Step 4: Simplify right side
    8,164x = 59,995,662.85
  5. Step 5: Solve for x
    x = 59,995,662.85/8,164
  6. Step 6: Final answer
    x = 7,348.81

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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.