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Finding the Fourth Proportional to 31,698, 47,553.48 and 13,230

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Solution

The fourth proportional to 31,698, 47,553.48 and 13,230 is: 19,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698 : 47,553.48 = 13,230 : x
  2. Step 2: Convert to fraction form
    31,698/47,553.48 = 13,230/x
  3. Step 3: Cross multiply
    31,698x = 47,553.48 × 13,230
  4. Step 4: Simplify right side
    31,698x = 629,132,540.40
  5. Step 5: Solve for x
    x = 629,132,540.40/31,698
  6. Step 6: Final answer
    x = 19,847.70

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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.