Home / 2,272.81-3,409.62-811.90

Finding the Fourth Proportional to 2,272.81, 3,409.62 and 811.90

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Solution

The fourth proportional to 2,272.81, 3,409.62 and 811.90 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.81 : 3,409.62 = 811.90 : x
  2. Step 2: Convert to fraction form
    2,272.81/3,409.62 = 811.90/x
  3. Step 3: Cross multiply
    2,272.81x = 3,409.62 × 811.90
  4. Step 4: Simplify right side
    2,272.81x = 2,768,270.48
  5. Step 5: Solve for x
    x = 2,768,270.48/2,272.81
  6. Step 6: Final answer
    x = 1,217.99

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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.