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Finding the Fourth Proportional to 7,937.88, 11,906.82 and 3,831

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Solution

The fourth proportional to 7,937.88, 11,906.82 and 3,831 is: 5,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.88 : 11,906.82 = 3,831 : x
  2. Step 2: Convert to fraction form
    7,937.88/11,906.82 = 3,831/x
  3. Step 3: Cross multiply
    7,937.88x = 11,906.82 × 3,831
  4. Step 4: Simplify right side
    7,937.88x = 45,615,027.42
  5. Step 5: Solve for x
    x = 45,615,027.42/7,937.88
  6. Step 6: Final answer
    x = 5,746.50

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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.