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Finding the Fourth Proportional to 31,845, 47,788.02 and 13,377

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Solution

The fourth proportional to 31,845, 47,788.02 and 13,377 is: 20,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845 : 47,788.02 = 13,377 : x
  2. Step 2: Convert to fraction form
    31,845/47,788.02 = 13,377/x
  3. Step 3: Cross multiply
    31,845x = 47,788.02 × 13,377
  4. Step 4: Simplify right side
    31,845x = 639,260,343.54
  5. Step 5: Solve for x
    x = 639,260,343.54/31,845
  6. Step 6: Final answer
    x = 20,074.12

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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.