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Finding the Fourth Proportional to 31,876, 47,821.68 and 9,988

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Solution

The fourth proportional to 31,876, 47,821.68 and 9,988 is: 14,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876 : 47,821.68 = 9,988 : x
  2. Step 2: Convert to fraction form
    31,876/47,821.68 = 9,988/x
  3. Step 3: Cross multiply
    31,876x = 47,821.68 × 9,988
  4. Step 4: Simplify right side
    31,876x = 477,642,939.84
  5. Step 5: Solve for x
    x = 477,642,939.84/31,876
  6. Step 6: Final answer
    x = 14,984.41

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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.