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Finding the Fourth Proportional to 2,191, 3,286.35 and 547.51

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Solution

The fourth proportional to 2,191, 3,286.35 and 547.51 is: 821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,286.35 = 547.51 : x
  2. Step 2: Convert to fraction form
    2,191/3,286.35 = 547.51/x
  3. Step 3: Cross multiply
    2,191x = 3,286.35 × 547.51
  4. Step 4: Simplify right side
    2,191x = 1,799,309.49
  5. Step 5: Solve for x
    x = 1,799,309.49/2,191
  6. Step 6: Final answer
    x = 821.23

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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.