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Finding the Fourth Proportional to 3,177, 4,381.14 and 2,279.22

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Solution

The fourth proportional to 3,177, 4,381.14 and 2,279.22 is: 3,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,381.14 = 2,279.22 : x
  2. Step 2: Convert to fraction form
    3,177/4,381.14 = 2,279.22/x
  3. Step 3: Cross multiply
    3,177x = 4,381.14 × 2,279.22
  4. Step 4: Simplify right side
    3,177x = 9,985,581.91
  5. Step 5: Solve for x
    x = 9,985,581.91/3,177
  6. Step 6: Final answer
    x = 3,143.09

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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.