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Finding the Fourth Proportional to 31,888, 47,839.68 and 10,000

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Solution

The fourth proportional to 31,888, 47,839.68 and 10,000 is: 15,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888 : 47,839.68 = 10,000 : x
  2. Step 2: Convert to fraction form
    31,888/47,839.68 = 10,000/x
  3. Step 3: Cross multiply
    31,888x = 47,839.68 × 10,000
  4. Step 4: Simplify right side
    31,888x = 478,396,800
  5. Step 5: Solve for x
    x = 478,396,800/31,888
  6. Step 6: Final answer
    x = 15,002.41

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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.