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Finding the Fourth Proportional to 31,988.88, 47,990.88 and 12,267

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Solution

The fourth proportional to 31,988.88, 47,990.88 and 12,267 is: 18,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.88 : 47,990.88 = 12,267 : x
  2. Step 2: Convert to fraction form
    31,988.88/47,990.88 = 12,267/x
  3. Step 3: Cross multiply
    31,988.88x = 47,990.88 × 12,267
  4. Step 4: Simplify right side
    31,988.88x = 588,704,124.96
  5. Step 5: Solve for x
    x = 588,704,124.96/31,988.88
  6. Step 6: Final answer
    x = 18,403.40

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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.