Home / 2,206.02-3,309.06-906.78

Finding the Fourth Proportional to 2,206.02, 3,309.06 and 906.78

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Solution

The fourth proportional to 2,206.02, 3,309.06 and 906.78 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.02 : 3,309.06 = 906.78 : x
  2. Step 2: Convert to fraction form
    2,206.02/3,309.06 = 906.78/x
  3. Step 3: Cross multiply
    2,206.02x = 3,309.06 × 906.78
  4. Step 4: Simplify right side
    2,206.02x = 3,000,589.43
  5. Step 5: Solve for x
    x = 3,000,589.43/2,206.02
  6. Step 6: Final answer
    x = 1,360.18

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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.