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Finding the Fourth Proportional to 31,908.33, 47,863.31 and 9,721.62

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Solution

The fourth proportional to 31,908.33, 47,863.31 and 9,721.62 is: 14,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.33 : 47,863.31 = 9,721.62 : x
  2. Step 2: Convert to fraction form
    31,908.33/47,863.31 = 9,721.62/x
  3. Step 3: Cross multiply
    31,908.33x = 47,863.31 × 9,721.62
  4. Step 4: Simplify right side
    31,908.33x = 465,308,863.15
  5. Step 5: Solve for x
    x = 465,308,863.15/31,908.33
  6. Step 6: Final answer
    x = 14,582.68

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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.