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Finding the Fourth Proportional to 4,069, 5,615.22 and 2,206

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Solution

The fourth proportional to 4,069, 5,615.22 and 2,206 is: 3,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 5,615.22 = 2,206 : x
  2. Step 2: Convert to fraction form
    4,069/5,615.22 = 2,206/x
  3. Step 3: Cross multiply
    4,069x = 5,615.22 × 2,206
  4. Step 4: Simplify right side
    4,069x = 12,387,175.32
  5. Step 5: Solve for x
    x = 12,387,175.32/4,069
  6. Step 6: Final answer
    x = 3,044.28

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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.