Home / 2,205.02-3,306.93-819.01

Finding the Fourth Proportional to 2,205.02, 3,306.93 and 819.01

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Solution

The fourth proportional to 2,205.02, 3,306.93 and 819.01 is: 1,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.02 : 3,306.93 = 819.01 : x
  2. Step 2: Convert to fraction form
    2,205.02/3,306.93 = 819.01/x
  3. Step 3: Cross multiply
    2,205.02x = 3,306.93 × 819.01
  4. Step 4: Simplify right side
    2,205.02x = 2,708,409.80
  5. Step 5: Solve for x
    x = 2,708,409.80/2,205.02
  6. Step 6: Final answer
    x = 1,228.29

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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.