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Finding the Fourth Proportional to 31,593.50, 47,390.41 and 12,873.71

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Solution

The fourth proportional to 31,593.50, 47,390.41 and 12,873.71 is: 19,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.50 : 47,390.41 = 12,873.71 : x
  2. Step 2: Convert to fraction form
    31,593.50/47,390.41 = 12,873.71/x
  3. Step 3: Cross multiply
    31,593.50x = 47,390.41 × 12,873.71
  4. Step 4: Simplify right side
    31,593.50x = 610,090,481.41
  5. Step 5: Solve for x
    x = 610,090,481.41/31,593.50
  6. Step 6: Final answer
    x = 19,310.63

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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.