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Finding the Fourth Proportional to 31,467.88, 47,204.76 and 10,408

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Solution

The fourth proportional to 31,467.88, 47,204.76 and 10,408 is: 15,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.88 : 47,204.76 = 10,408 : x
  2. Step 2: Convert to fraction form
    31,467.88/47,204.76 = 10,408/x
  3. Step 3: Cross multiply
    31,467.88x = 47,204.76 × 10,408
  4. Step 4: Simplify right side
    31,467.88x = 491,307,142.08
  5. Step 5: Solve for x
    x = 491,307,142.08/31,467.88
  6. Step 6: Final answer
    x = 15,612.97

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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.