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Finding the Fourth Proportional to 5,689.16, 7,850.74 and 3,205

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Solution

The fourth proportional to 5,689.16, 7,850.74 and 3,205 is: 4,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.16 : 7,850.74 = 3,205 : x
  2. Step 2: Convert to fraction form
    5,689.16/7,850.74 = 3,205/x
  3. Step 3: Cross multiply
    5,689.16x = 7,850.74 × 3,205
  4. Step 4: Simplify right side
    5,689.16x = 25,161,621.70
  5. Step 5: Solve for x
    x = 25,161,621.70/5,689.16
  6. Step 6: Final answer
    x = 4,422.73

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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.