Home / 2,272.98-3,407.40-811.80

Finding the Fourth Proportional to 2,272.98, 3,407.40 and 811.80

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Solution

The fourth proportional to 2,272.98, 3,407.40 and 811.80 is: 1,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.98 : 3,407.40 = 811.80 : x
  2. Step 2: Convert to fraction form
    2,272.98/3,407.40 = 811.80/x
  3. Step 3: Cross multiply
    2,272.98x = 3,407.40 × 811.80
  4. Step 4: Simplify right side
    2,272.98x = 2,766,127.32
  5. Step 5: Solve for x
    x = 2,766,127.32/2,272.98
  6. Step 6: Final answer
    x = 1,216.96

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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.