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Finding the Fourth Proportional to 2,196.49, 3,296.19 and 809.87

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Solution

The fourth proportional to 2,196.49, 3,296.19 and 809.87 is: 1,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.49 : 3,296.19 = 809.87 : x
  2. Step 2: Convert to fraction form
    2,196.49/3,296.19 = 809.87/x
  3. Step 3: Cross multiply
    2,196.49x = 3,296.19 × 809.87
  4. Step 4: Simplify right side
    2,196.49x = 2,669,485.40
  5. Step 5: Solve for x
    x = 2,669,485.40/2,196.49
  6. Step 6: Final answer
    x = 1,215.34

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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.