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Finding the Fourth Proportional to 2,869, 3,958.61 and 1,689.64

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Solution

The fourth proportional to 2,869, 3,958.61 and 1,689.64 is: 2,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869 : 3,958.61 = 1,689.64 : x
  2. Step 2: Convert to fraction form
    2,869/3,958.61 = 1,689.64/x
  3. Step 3: Cross multiply
    2,869x = 3,958.61 × 1,689.64
  4. Step 4: Simplify right side
    2,869x = 6,688,625.80
  5. Step 5: Solve for x
    x = 6,688,625.80/2,869
  6. Step 6: Final answer
    x = 2,331.34

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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.