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Finding the Fourth Proportional to 7,838.38, 11,757.37 and 1,995

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Solution

The fourth proportional to 7,838.38, 11,757.37 and 1,995 is: 2,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.38 : 11,757.37 = 1,995 : x
  2. Step 2: Convert to fraction form
    7,838.38/11,757.37 = 1,995/x
  3. Step 3: Cross multiply
    7,838.38x = 11,757.37 × 1,995
  4. Step 4: Simplify right side
    7,838.38x = 23,455,953.15
  5. Step 5: Solve for x
    x = 23,455,953.15/7,838.38
  6. Step 6: Final answer
    x = 2,992.45

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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.