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Finding the Fourth Proportional to 7,895.97, 11,838.47 and 3,997.71

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Solution

The fourth proportional to 7,895.97, 11,838.47 and 3,997.71 is: 5,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.97 : 11,838.47 = 3,997.71 : x
  2. Step 2: Convert to fraction form
    7,895.97/11,838.47 = 3,997.71/x
  3. Step 3: Cross multiply
    7,895.97x = 11,838.47 × 3,997.71
  4. Step 4: Simplify right side
    7,895.97x = 47,326,749.92
  5. Step 5: Solve for x
    x = 47,326,749.92/7,895.97
  6. Step 6: Final answer
    x = 5,993.79

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1.5x scale

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.