Home / 2,272.64-3,409.23-811.94

Finding the Fourth Proportional to 2,272.64, 3,409.23 and 811.94

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Solution

The fourth proportional to 2,272.64, 3,409.23 and 811.94 is: 1,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.64 : 3,409.23 = 811.94 : x
  2. Step 2: Convert to fraction form
    2,272.64/3,409.23 = 811.94/x
  3. Step 3: Cross multiply
    2,272.64x = 3,409.23 × 811.94
  4. Step 4: Simplify right side
    2,272.64x = 2,768,090.21
  5. Step 5: Solve for x
    x = 2,768,090.21/2,272.64
  6. Step 6: Final answer
    x = 1,218.01

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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.