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Finding the Fourth Proportional to 3,205.79, 4,809.47 and 1,561.97

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Solution

The fourth proportional to 3,205.79, 4,809.47 and 1,561.97 is: 2,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.79 : 4,809.47 = 1,561.97 : x
  2. Step 2: Convert to fraction form
    3,205.79/4,809.47 = 1,561.97/x
  3. Step 3: Cross multiply
    3,205.79x = 4,809.47 × 1,561.97
  4. Step 4: Simplify right side
    3,205.79x = 7,512,247.86
  5. Step 5: Solve for x
    x = 7,512,247.86/3,205.79
  6. Step 6: Final answer
    x = 2,343.34

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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.