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Finding the Fourth Proportional to 3,906.88, 5,844.96 and 3,780.16

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Solution

The fourth proportional to 3,906.88, 5,844.96 and 3,780.16 is: 5,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.88 : 5,844.96 = 3,780.16 : x
  2. Step 2: Convert to fraction form
    3,906.88/5,844.96 = 3,780.16/x
  3. Step 3: Cross multiply
    3,906.88x = 5,844.96 × 3,780.16
  4. Step 4: Simplify right side
    3,906.88x = 22,094,883.99
  5. Step 5: Solve for x
    x = 22,094,883.99/3,906.88
  6. Step 6: Final answer
    x = 5,655.38

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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.