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Finding the Fourth Proportional to 6,078.98, 9,118.21 and 1,921.97

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Solution

The fourth proportional to 6,078.98, 9,118.21 and 1,921.97 is: 2,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.98 : 9,118.21 = 1,921.97 : x
  2. Step 2: Convert to fraction form
    6,078.98/9,118.21 = 1,921.97/x
  3. Step 3: Cross multiply
    6,078.98x = 9,118.21 × 1,921.97
  4. Step 4: Simplify right side
    6,078.98x = 17,524,926.07
  5. Step 5: Solve for x
    x = 17,524,926.07/6,078.98
  6. Step 6: Final answer
    x = 2,882.87

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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.