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Finding the Fourth Proportional to 2,204.46, 3,306.74 and 561

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Solution

The fourth proportional to 2,204.46, 3,306.74 and 561 is: 841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.46 : 3,306.74 = 561 : x
  2. Step 2: Convert to fraction form
    2,204.46/3,306.74 = 561/x
  3. Step 3: Cross multiply
    2,204.46x = 3,306.74 × 561
  4. Step 4: Simplify right side
    2,204.46x = 1,855,081.14
  5. Step 5: Solve for x
    x = 1,855,081.14/2,204.46
  6. Step 6: Final answer
    x = 841.51

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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.