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Finding the Fourth Proportional to 1,900.72, 2,845.14 and 1,440.22

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Solution

The fourth proportional to 1,900.72, 2,845.14 and 1,440.22 is: 2,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.72 : 2,845.14 = 1,440.22 : x
  2. Step 2: Convert to fraction form
    1,900.72/2,845.14 = 1,440.22/x
  3. Step 3: Cross multiply
    1,900.72x = 2,845.14 × 1,440.22
  4. Step 4: Simplify right side
    1,900.72x = 4,097,627.53
  5. Step 5: Solve for x
    x = 4,097,627.53/1,900.72
  6. Step 6: Final answer
    x = 2,155.83

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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.