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Finding the Fourth Proportional to 7,887.97, 11,838.44 and 3,993.49

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Solution

The fourth proportional to 7,887.97, 11,838.44 and 3,993.49 is: 5,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.97 : 11,838.44 = 3,993.49 : x
  2. Step 2: Convert to fraction form
    7,887.97/11,838.44 = 3,993.49/x
  3. Step 3: Cross multiply
    7,887.97x = 11,838.44 × 3,993.49
  4. Step 4: Simplify right side
    7,887.97x = 47,276,691.76
  5. Step 5: Solve for x
    x = 47,276,691.76/7,887.97
  6. Step 6: Final answer
    x = 5,993.52

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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.