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Finding the Fourth Proportional to 34,197.80, 47,174 and 20,047.92

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Solution

The fourth proportional to 34,197.80, 47,174 and 20,047.92 is: 27,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,197.80 : 47,174 = 20,047.92 : x
  2. Step 2: Convert to fraction form
    34,197.80/47,174 = 20,047.92/x
  3. Step 3: Cross multiply
    34,197.80x = 47,174 × 20,047.92
  4. Step 4: Simplify right side
    34,197.80x = 945,740,578.08
  5. Step 5: Solve for x
    x = 945,740,578.08/34,197.80
  6. Step 6: Final answer
    x = 27,655.01

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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.