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Finding the Fourth Proportional to 29,697.80, 40,986.42 and 17,123

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Solution

The fourth proportional to 29,697.80, 40,986.42 and 17,123 is: 23,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.80 : 40,986.42 = 17,123 : x
  2. Step 2: Convert to fraction form
    29,697.80/40,986.42 = 17,123/x
  3. Step 3: Cross multiply
    29,697.80x = 40,986.42 × 17,123
  4. Step 4: Simplify right side
    29,697.80x = 701,810,469.66
  5. Step 5: Solve for x
    x = 701,810,469.66/29,697.80
  6. Step 6: Final answer
    x = 23,631.73

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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.