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Finding the Fourth Proportional to 2,195.82, 3,293.01 and 635.67

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Solution

The fourth proportional to 2,195.82, 3,293.01 and 635.67 is: 953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.82 : 3,293.01 = 635.67 : x
  2. Step 2: Convert to fraction form
    2,195.82/3,293.01 = 635.67/x
  3. Step 3: Cross multiply
    2,195.82x = 3,293.01 × 635.67
  4. Step 4: Simplify right side
    2,195.82x = 2,093,267.67
  5. Step 5: Solve for x
    x = 2,093,267.67/2,195.82
  6. Step 6: Final answer
    x = 953.30

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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.