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Finding the Fourth Proportional to 2,194.38, 3,292.11 and 655.38

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Solution

The fourth proportional to 2,194.38, 3,292.11 and 655.38 is: 983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.38 : 3,292.11 = 655.38 : x
  2. Step 2: Convert to fraction form
    2,194.38/3,292.11 = 655.38/x
  3. Step 3: Cross multiply
    2,194.38x = 3,292.11 × 655.38
  4. Step 4: Simplify right side
    2,194.38x = 2,157,583.05
  5. Step 5: Solve for x
    x = 2,157,583.05/2,194.38
  6. Step 6: Final answer
    x = 983.23

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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.