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Finding the Fourth Proportional to 3,995, 5,513.34 and 2,226.62

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Solution

The fourth proportional to 3,995, 5,513.34 and 2,226.62 is: 3,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995 : 5,513.34 = 2,226.62 : x
  2. Step 2: Convert to fraction form
    3,995/5,513.34 = 2,226.62/x
  3. Step 3: Cross multiply
    3,995x = 5,513.34 × 2,226.62
  4. Step 4: Simplify right side
    3,995x = 12,276,113.11
  5. Step 5: Solve for x
    x = 12,276,113.11/3,995
  6. Step 6: Final answer
    x = 3,072.87

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Why These Related Problems?

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