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Finding the Fourth Proportional to 3,293.87, 4,917.31 and 3,178.53

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Solution

The fourth proportional to 3,293.87, 4,917.31 and 3,178.53 is: 4,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.87 : 4,917.31 = 3,178.53 : x
  2. Step 2: Convert to fraction form
    3,293.87/4,917.31 = 3,178.53/x
  3. Step 3: Cross multiply
    3,293.87x = 4,917.31 × 3,178.53
  4. Step 4: Simplify right side
    3,293.87x = 15,629,809.41
  5. Step 5: Solve for x
    x = 15,629,809.41/3,293.87
  6. Step 6: Final answer
    x = 4,745.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.