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Finding the Fourth Proportional to 31,751.32, 47,623.14 and 8,379.52

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Solution

The fourth proportional to 31,751.32, 47,623.14 and 8,379.52 is: 12,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.32 : 47,623.14 = 8,379.52 : x
  2. Step 2: Convert to fraction form
    31,751.32/47,623.14 = 8,379.52/x
  3. Step 3: Cross multiply
    31,751.32x = 47,623.14 × 8,379.52
  4. Step 4: Simplify right side
    31,751.32x = 399,059,054.09
  5. Step 5: Solve for x
    x = 399,059,054.09/31,751.32
  6. Step 6: Final answer
    x = 12,568.27

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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.