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Finding the Fourth Proportional to 2,644.98, 3,650.43 and 2,014.62

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Solution

The fourth proportional to 2,644.98, 3,650.43 and 2,014.62 is: 2,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.98 : 3,650.43 = 2,014.62 : x
  2. Step 2: Convert to fraction form
    2,644.98/3,650.43 = 2,014.62/x
  3. Step 3: Cross multiply
    2,644.98x = 3,650.43 × 2,014.62
  4. Step 4: Simplify right side
    2,644.98x = 7,354,229.29
  5. Step 5: Solve for x
    x = 7,354,229.29/2,644.98
  6. Step 6: Final answer
    x = 2,780.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.