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Finding the Fourth Proportional to 31,466, 47,199 and 12,998.48

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Solution

The fourth proportional to 31,466, 47,199 and 12,998.48 is: 19,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466 : 47,199 = 12,998.48 : x
  2. Step 2: Convert to fraction form
    31,466/47,199 = 12,998.48/x
  3. Step 3: Cross multiply
    31,466x = 47,199 × 12,998.48
  4. Step 4: Simplify right side
    31,466x = 613,515,257.52
  5. Step 5: Solve for x
    x = 613,515,257.52/31,466
  6. Step 6: Final answer
    x = 19,497.72

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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.