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Finding the Fourth Proportional to 3,209.01, 4,809.72 and 1,561.78

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Solution

The fourth proportional to 3,209.01, 4,809.72 and 1,561.78 is: 2,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.01 : 4,809.72 = 1,561.78 : x
  2. Step 2: Convert to fraction form
    3,209.01/4,809.72 = 1,561.78/x
  3. Step 3: Cross multiply
    3,209.01x = 4,809.72 × 1,561.78
  4. Step 4: Simplify right side
    3,209.01x = 7,511,700.45
  5. Step 5: Solve for x
    x = 7,511,700.45/3,209.01
  6. Step 6: Final answer
    x = 2,340.82

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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.