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Finding the Fourth Proportional to 31,751.58, 47,623.71 and 8,379.84

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Solution

The fourth proportional to 31,751.58, 47,623.71 and 8,379.84 is: 12,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.58 : 47,623.71 = 8,379.84 : x
  2. Step 2: Convert to fraction form
    31,751.58/47,623.71 = 8,379.84/x
  3. Step 3: Cross multiply
    31,751.58x = 47,623.71 × 8,379.84
  4. Step 4: Simplify right side
    31,751.58x = 399,079,070.01
  5. Step 5: Solve for x
    x = 399,079,070.01/31,751.58
  6. Step 6: Final answer
    x = 12,568.79

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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.