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Finding the Fourth Proportional to 2,204.69, 3,306.95 and 906.13

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Solution

The fourth proportional to 2,204.69, 3,306.95 and 906.13 is: 1,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.69 : 3,306.95 = 906.13 : x
  2. Step 2: Convert to fraction form
    2,204.69/3,306.95 = 906.13/x
  3. Step 3: Cross multiply
    2,204.69x = 3,306.95 × 906.13
  4. Step 4: Simplify right side
    2,204.69x = 2,996,505.54
  5. Step 5: Solve for x
    x = 2,996,505.54/2,204.69
  6. Step 6: Final answer
    x = 1,359.15

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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.