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Finding the Fourth Proportional to 31,464, 47,196 and 10,687.68

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Solution

The fourth proportional to 31,464, 47,196 and 10,687.68 is: 16,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464 : 47,196 = 10,687.68 : x
  2. Step 2: Convert to fraction form
    31,464/47,196 = 10,687.68/x
  3. Step 3: Cross multiply
    31,464x = 47,196 × 10,687.68
  4. Step 4: Simplify right side
    31,464x = 504,415,745.28
  5. Step 5: Solve for x
    x = 504,415,745.28/31,464
  6. Step 6: Final answer
    x = 16,031.52

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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.