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Finding the Fourth Proportional to 31,761.39, 47,638.42 and 8,389.65

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Solution

The fourth proportional to 31,761.39, 47,638.42 and 8,389.65 is: 12,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.39 : 47,638.42 = 8,389.65 : x
  2. Step 2: Convert to fraction form
    31,761.39/47,638.42 = 8,389.65/x
  3. Step 3: Cross multiply
    31,761.39x = 47,638.42 × 8,389.65
  4. Step 4: Simplify right side
    31,761.39x = 399,669,670.35
  5. Step 5: Solve for x
    x = 399,669,670.35/31,761.39
  6. Step 6: Final answer
    x = 12,583.51

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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.