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Finding the Fourth Proportional to 31,882, 47,823 and 9,994

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Solution

The fourth proportional to 31,882, 47,823 and 9,994 is: 14,991

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882 : 47,823 = 9,994 : x
  2. Step 2: Convert to fraction form
    31,882/47,823 = 9,994/x
  3. Step 3: Cross multiply
    31,882x = 47,823 × 9,994
  4. Step 4: Simplify right side
    31,882x = 477,943,062
  5. Step 5: Solve for x
    x = 477,943,062/31,882
  6. Step 6: Final answer
    x = 14,991

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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.