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Finding the Fourth Proportional to 22,921.32, 34,370.64 and 8,128.02

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Solution

The fourth proportional to 22,921.32, 34,370.64 and 8,128.02 is: 12,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.32 : 34,370.64 = 8,128.02 : x
  2. Step 2: Convert to fraction form
    22,921.32/34,370.64 = 8,128.02/x
  3. Step 3: Cross multiply
    22,921.32x = 34,370.64 × 8,128.02
  4. Step 4: Simplify right side
    22,921.32x = 279,365,249.33
  5. Step 5: Solve for x
    x = 279,365,249.33/22,921.32
  6. Step 6: Final answer
    x = 12,188.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.