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Finding the Fourth Proportional to 2,737.72, 4,109 and 1,440.08

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Solution

The fourth proportional to 2,737.72, 4,109 and 1,440.08 is: 2,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.72 : 4,109 = 1,440.08 : x
  2. Step 2: Convert to fraction form
    2,737.72/4,109 = 1,440.08/x
  3. Step 3: Cross multiply
    2,737.72x = 4,109 × 1,440.08
  4. Step 4: Simplify right side
    2,737.72x = 5,917,288.72
  5. Step 5: Solve for x
    x = 5,917,288.72/2,737.72
  6. Step 6: Final answer
    x = 2,161.39

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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.