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Finding the Fourth Proportional to 2,197.94, 3,296.93 and 811.31

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Solution

The fourth proportional to 2,197.94, 3,296.93 and 811.31 is: 1,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.94 : 3,296.93 = 811.31 : x
  2. Step 2: Convert to fraction form
    2,197.94/3,296.93 = 811.31/x
  3. Step 3: Cross multiply
    2,197.94x = 3,296.93 × 811.31
  4. Step 4: Simplify right side
    2,197.94x = 2,674,811.74
  5. Step 5: Solve for x
    x = 2,674,811.74/2,197.94
  6. Step 6: Final answer
    x = 1,216.97

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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.