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Finding the Fourth Proportional to 31,908.76, 47,859.76 and 8,537.56

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Solution

The fourth proportional to 31,908.76, 47,859.76 and 8,537.56 is: 12,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.76 : 47,859.76 = 8,537.56 : x
  2. Step 2: Convert to fraction form
    31,908.76/47,859.76 = 8,537.56/x
  3. Step 3: Cross multiply
    31,908.76x = 47,859.76 × 8,537.56
  4. Step 4: Simplify right side
    31,908.76x = 408,605,572.59
  5. Step 5: Solve for x
    x = 408,605,572.59/31,908.76
  6. Step 6: Final answer
    x = 12,805.44

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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.