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Finding the Fourth Proportional to 3,279, 4,525.74 and 2,037.72

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Solution

The fourth proportional to 3,279, 4,525.74 and 2,037.72 is: 2,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279 : 4,525.74 = 2,037.72 : x
  2. Step 2: Convert to fraction form
    3,279/4,525.74 = 2,037.72/x
  3. Step 3: Cross multiply
    3,279x = 4,525.74 × 2,037.72
  4. Step 4: Simplify right side
    3,279x = 9,222,190.91
  5. Step 5: Solve for x
    x = 9,222,190.91/3,279
  6. Step 6: Final answer
    x = 2,812.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.