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Finding the Fourth Proportional to 31,845.51, 47,768.20 and 8,471.95

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Solution

The fourth proportional to 31,845.51, 47,768.20 and 8,471.95 is: 12,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845.51 : 47,768.20 = 8,471.95 : x
  2. Step 2: Convert to fraction form
    31,845.51/47,768.20 = 8,471.95/x
  3. Step 3: Cross multiply
    31,845.51x = 47,768.20 × 8,471.95
  4. Step 4: Simplify right side
    31,845.51x = 404,689,801.99
  5. Step 5: Solve for x
    x = 404,689,801.99/31,845.51
  6. Step 6: Final answer
    x = 12,707.91

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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.