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Finding the Fourth Proportional to 1,450.62, 2,178.09 and 1,400.22

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Solution

The fourth proportional to 1,450.62, 2,178.09 and 1,400.22 is: 2,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.62 : 2,178.09 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    1,450.62/2,178.09 = 1,400.22/x
  3. Step 3: Cross multiply
    1,450.62x = 2,178.09 × 1,400.22
  4. Step 4: Simplify right side
    1,450.62x = 3,049,805.18
  5. Step 5: Solve for x
    x = 3,049,805.18/1,450.62
  6. Step 6: Final answer
    x = 2,102.41

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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.