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Finding the Fourth Proportional to 2,050.84, 3,072.73 and 1,614.89

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Solution

The fourth proportional to 2,050.84, 3,072.73 and 1,614.89 is: 2,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.84 : 3,072.73 = 1,614.89 : x
  2. Step 2: Convert to fraction form
    2,050.84/3,072.73 = 1,614.89/x
  3. Step 3: Cross multiply
    2,050.84x = 3,072.73 × 1,614.89
  4. Step 4: Simplify right side
    2,050.84x = 4,962,120.95
  5. Step 5: Solve for x
    x = 4,962,120.95/2,050.84
  6. Step 6: Final answer
    x = 2,419.56

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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.