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Finding the Fourth Proportional to 31,865.45, 47,797.36 and 8,491.82

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Solution

The fourth proportional to 31,865.45, 47,797.36 and 8,491.82 is: 12,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.45 : 47,797.36 = 8,491.82 : x
  2. Step 2: Convert to fraction form
    31,865.45/47,797.36 = 8,491.82/x
  3. Step 3: Cross multiply
    31,865.45x = 47,797.36 × 8,491.82
  4. Step 4: Simplify right side
    31,865.45x = 405,886,317.38
  5. Step 5: Solve for x
    x = 405,886,317.38/31,865.45
  6. Step 6: Final answer
    x = 12,737.51

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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.