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Finding the Fourth Proportional to 3,179.13, 4,770 and 1,716.56

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Solution

The fourth proportional to 3,179.13, 4,770 and 1,716.56 is: 2,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.13 : 4,770 = 1,716.56 : x
  2. Step 2: Convert to fraction form
    3,179.13/4,770 = 1,716.56/x
  3. Step 3: Cross multiply
    3,179.13x = 4,770 × 1,716.56
  4. Step 4: Simplify right side
    3,179.13x = 8,187,967.35
  5. Step 5: Solve for x
    x = 8,187,967.35/3,179.13
  6. Step 6: Final answer
    x = 2,575.54

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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.