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Finding the Fourth Proportional to 5,380.82, 8,072 and 2,605.21

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Solution

The fourth proportional to 5,380.82, 8,072 and 2,605.21 is: 3,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.82 : 8,072 = 2,605.21 : x
  2. Step 2: Convert to fraction form
    5,380.82/8,072 = 2,605.21/x
  3. Step 3: Cross multiply
    5,380.82x = 8,072 × 2,605.21
  4. Step 4: Simplify right side
    5,380.82x = 21,029,255.12
  5. Step 5: Solve for x
    x = 21,029,255.12/5,380.82
  6. Step 6: Final answer
    x = 3,908.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.