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Finding the Fourth Proportional to 29,679.75, 40,958.06 and 16,431.75

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Solution

The fourth proportional to 29,679.75, 40,958.06 and 16,431.75 is: 22,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,679.75 : 40,958.06 = 16,431.75 : x
  2. Step 2: Convert to fraction form
    29,679.75/40,958.06 = 16,431.75/x
  3. Step 3: Cross multiply
    29,679.75x = 40,958.06 × 16,431.75
  4. Step 4: Simplify right side
    29,679.75x = 673,012,520.25
  5. Step 5: Solve for x
    x = 673,012,520.25/29,679.75
  6. Step 6: Final answer
    x = 22,675.82

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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.