Home / 2,272.66-3,409.18-811.45

Finding the Fourth Proportional to 2,272.66, 3,409.18 and 811.45

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Solution

The fourth proportional to 2,272.66, 3,409.18 and 811.45 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,409.18 = 811.45 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,409.18 = 811.45/x
  3. Step 3: Cross multiply
    2,272.66x = 3,409.18 × 811.45
  4. Step 4: Simplify right side
    2,272.66x = 2,766,379.11
  5. Step 5: Solve for x
    x = 2,766,379.11/2,272.66
  6. Step 6: Final answer
    x = 1,217.24

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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.