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Finding the Fourth Proportional to 7,937.74, 11,906.50 and 1,933.89

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Solution

The fourth proportional to 7,937.74, 11,906.50 and 1,933.89 is: 2,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.74 : 11,906.50 = 1,933.89 : x
  2. Step 2: Convert to fraction form
    7,937.74/11,906.50 = 1,933.89/x
  3. Step 3: Cross multiply
    7,937.74x = 11,906.50 × 1,933.89
  4. Step 4: Simplify right side
    7,937.74x = 23,025,841.57
  5. Step 5: Solve for x
    x = 23,025,841.57/7,937.74
  6. Step 6: Final answer
    x = 2,900.80

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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.