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Finding the Fourth Proportional to 6,157.78, 9,238.13 and 1,997.79

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Solution

The fourth proportional to 6,157.78, 9,238.13 and 1,997.79 is: 2,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.78 : 9,238.13 = 1,997.79 : x
  2. Step 2: Convert to fraction form
    6,157.78/9,238.13 = 1,997.79/x
  3. Step 3: Cross multiply
    6,157.78x = 9,238.13 × 1,997.79
  4. Step 4: Simplify right side
    6,157.78x = 18,455,843.73
  5. Step 5: Solve for x
    x = 18,455,843.73/6,157.78
  6. Step 6: Final answer
    x = 2,997.16

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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.