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Finding the Fourth Proportional to 31,509.80, 47,286.30 and 17,469.80

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Solution

The fourth proportional to 31,509.80, 47,286.30 and 17,469.80 is: 26,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.80 : 47,286.30 = 17,469.80 : x
  2. Step 2: Convert to fraction form
    31,509.80/47,286.30 = 17,469.80/x
  3. Step 3: Cross multiply
    31,509.80x = 47,286.30 × 17,469.80
  4. Step 4: Simplify right side
    31,509.80x = 826,082,203.74
  5. Step 5: Solve for x
    x = 826,082,203.74/31,509.80
  6. Step 6: Final answer
    x = 26,216.68

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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.