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Finding the Fourth Proportional to 2,361.87, 3,552.51 and 2,138.31

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Solution

The fourth proportional to 2,361.87, 3,552.51 and 2,138.31 is: 3,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.87 : 3,552.51 = 2,138.31 : x
  2. Step 2: Convert to fraction form
    2,361.87/3,552.51 = 2,138.31/x
  3. Step 3: Cross multiply
    2,361.87x = 3,552.51 × 2,138.31
  4. Step 4: Simplify right side
    2,361.87x = 7,596,367.66
  5. Step 5: Solve for x
    x = 7,596,367.66/2,361.87
  6. Step 6: Final answer
    x = 3,216.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.