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Finding the Fourth Proportional to 31,906.64, 47,866.78 and 9,721.79

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Solution

The fourth proportional to 31,906.64, 47,866.78 and 9,721.79 is: 14,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.64 : 47,866.78 = 9,721.79 : x
  2. Step 2: Convert to fraction form
    31,906.64/47,866.78 = 9,721.79/x
  3. Step 3: Cross multiply
    31,906.64x = 47,866.78 × 9,721.79
  4. Step 4: Simplify right side
    31,906.64x = 465,350,495.19
  5. Step 5: Solve for x
    x = 465,350,495.19/31,906.64
  6. Step 6: Final answer
    x = 14,584.75

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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.