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Finding the Fourth Proportional to 31,853.58, 47,781.45 and 8,482.38

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Solution

The fourth proportional to 31,853.58, 47,781.45 and 8,482.38 is: 12,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.58 : 47,781.45 = 8,482.38 : x
  2. Step 2: Convert to fraction form
    31,853.58/47,781.45 = 8,482.38/x
  3. Step 3: Cross multiply
    31,853.58x = 47,781.45 × 8,482.38
  4. Step 4: Simplify right side
    31,853.58x = 405,300,415.85
  5. Step 5: Solve for x
    x = 405,300,415.85/31,853.58
  6. Step 6: Final answer
    x = 12,723.86

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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.