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Finding the Fourth Proportional to 2,721.59, 3,756.41 and 1,659.71

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Solution

The fourth proportional to 2,721.59, 3,756.41 and 1,659.71 is: 2,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.59 : 3,756.41 = 1,659.71 : x
  2. Step 2: Convert to fraction form
    2,721.59/3,756.41 = 1,659.71/x
  3. Step 3: Cross multiply
    2,721.59x = 3,756.41 × 1,659.71
  4. Step 4: Simplify right side
    2,721.59x = 6,234,558.56
  5. Step 5: Solve for x
    x = 6,234,558.56/2,721.59
  6. Step 6: Final answer
    x = 2,290.78

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