Home / 2,197.02-3,296.82-811.32

Finding the Fourth Proportional to 2,197.02, 3,296.82 and 811.32

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Solution

The fourth proportional to 2,197.02, 3,296.82 and 811.32 is: 1,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.02 : 3,296.82 = 811.32 : x
  2. Step 2: Convert to fraction form
    2,197.02/3,296.82 = 811.32/x
  3. Step 3: Cross multiply
    2,197.02x = 3,296.82 × 811.32
  4. Step 4: Simplify right side
    2,197.02x = 2,674,776.00
  5. Step 5: Solve for x
    x = 2,674,776.00/2,197.02
  6. Step 6: Final answer
    x = 1,217.46

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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.