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Finding the Fourth Proportional to 3,205, 4,422.97 and 1,807.75

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Solution

The fourth proportional to 3,205, 4,422.97 and 1,807.75 is: 2,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 4,422.97 = 1,807.75 : x
  2. Step 2: Convert to fraction form
    3,205/4,422.97 = 1,807.75/x
  3. Step 3: Cross multiply
    3,205x = 4,422.97 × 1,807.75
  4. Step 4: Simplify right side
    3,205x = 7,995,624.02
  5. Step 5: Solve for x
    x = 7,995,624.02/3,205
  6. Step 6: Final answer
    x = 2,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.