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Finding the Fourth Proportional to 2,161.84, 3,240.32 and 861.80

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Solution

The fourth proportional to 2,161.84, 3,240.32 and 861.80 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.84 : 3,240.32 = 861.80 : x
  2. Step 2: Convert to fraction form
    2,161.84/3,240.32 = 861.80/x
  3. Step 3: Cross multiply
    2,161.84x = 3,240.32 × 861.80
  4. Step 4: Simplify right side
    2,161.84x = 2,792,507.78
  5. Step 5: Solve for x
    x = 2,792,507.78/2,161.84
  6. Step 6: Final answer
    x = 1,291.73

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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.