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Finding the Fourth Proportional to 2,190.86, 3,286.28 and 547.40

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Solution

The fourth proportional to 2,190.86, 3,286.28 and 547.40 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.86 : 3,286.28 = 547.40 : x
  2. Step 2: Convert to fraction form
    2,190.86/3,286.28 = 547.40/x
  3. Step 3: Cross multiply
    2,190.86x = 3,286.28 × 547.40
  4. Step 4: Simplify right side
    2,190.86x = 1,798,906.93
  5. Step 5: Solve for x
    x = 1,798,906.93/2,190.86
  6. Step 6: Final answer
    x = 821.10

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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.