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Finding the Fourth Proportional to 8,102.56, 11,182.02 and 5,409.16

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Solution

The fourth proportional to 8,102.56, 11,182.02 and 5,409.16 is: 7,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.56 : 11,182.02 = 5,409.16 : x
  2. Step 2: Convert to fraction form
    8,102.56/11,182.02 = 5,409.16/x
  3. Step 3: Cross multiply
    8,102.56x = 11,182.02 × 5,409.16
  4. Step 4: Simplify right side
    8,102.56x = 60,485,335.30
  5. Step 5: Solve for x
    x = 60,485,335.30/8,102.56
  6. Step 6: Final answer
    x = 7,464.97

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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.