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Finding the Fourth Proportional to 2,191.18, 3,286.77 and 652.06

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Solution

The fourth proportional to 2,191.18, 3,286.77 and 652.06 is: 978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.18 : 3,286.77 = 652.06 : x
  2. Step 2: Convert to fraction form
    2,191.18/3,286.77 = 652.06/x
  3. Step 3: Cross multiply
    2,191.18x = 3,286.77 × 652.06
  4. Step 4: Simplify right side
    2,191.18x = 2,143,171.25
  5. Step 5: Solve for x
    x = 2,143,171.25/2,191.18
  6. Step 6: Final answer
    x = 978.09

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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.