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Finding the Fourth Proportional to 31,880, 47,827.68 and 9,992

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Solution

The fourth proportional to 31,880, 47,827.68 and 9,992 is: 14,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880 : 47,827.68 = 9,992 : x
  2. Step 2: Convert to fraction form
    31,880/47,827.68 = 9,992/x
  3. Step 3: Cross multiply
    31,880x = 47,827.68 × 9,992
  4. Step 4: Simplify right side
    31,880x = 477,894,178.56
  5. Step 5: Solve for x
    x = 477,894,178.56/31,880
  6. Step 6: Final answer
    x = 14,990.41

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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.