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Finding the Fourth Proportional to 29,617.50, 40,872.05 and 16,188.75

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Solution

The fourth proportional to 29,617.50, 40,872.05 and 16,188.75 is: 22,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,617.50 : 40,872.05 = 16,188.75 : x
  2. Step 2: Convert to fraction form
    29,617.50/40,872.05 = 16,188.75/x
  3. Step 3: Cross multiply
    29,617.50x = 40,872.05 × 16,188.75
  4. Step 4: Simplify right side
    29,617.50x = 661,667,399.44
  5. Step 5: Solve for x
    x = 661,667,399.44/29,617.50
  6. Step 6: Final answer
    x = 22,340.42

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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.