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Finding the Fourth Proportional to 2,193.38, 3,290.61 and 654.38

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Solution

The fourth proportional to 2,193.38, 3,290.61 and 654.38 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.38 : 3,290.61 = 654.38 : x
  2. Step 2: Convert to fraction form
    2,193.38/3,290.61 = 654.38/x
  3. Step 3: Cross multiply
    2,193.38x = 3,290.61 × 654.38
  4. Step 4: Simplify right side
    2,193.38x = 2,153,292.92
  5. Step 5: Solve for x
    x = 2,153,292.92/2,193.38
  6. Step 6: Final answer
    x = 981.73

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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.