Home / 2,272.59-3,409.02-811.62

Finding the Fourth Proportional to 2,272.59, 3,409.02 and 811.62

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Solution

The fourth proportional to 2,272.59, 3,409.02 and 811.62 is: 1,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.59 : 3,409.02 = 811.62 : x
  2. Step 2: Convert to fraction form
    2,272.59/3,409.02 = 811.62/x
  3. Step 3: Cross multiply
    2,272.59x = 3,409.02 × 811.62
  4. Step 4: Simplify right side
    2,272.59x = 2,766,828.81
  5. Step 5: Solve for x
    x = 2,766,828.81/2,272.59
  6. Step 6: Final answer
    x = 1,217.48

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1.5x scale

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.