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Finding the Fourth Proportional to 3,613, 5,420.34 and 1,857.34

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Solution

The fourth proportional to 3,613, 5,420.34 and 1,857.34 is: 2,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 5,420.34 = 1,857.34 : x
  2. Step 2: Convert to fraction form
    3,613/5,420.34 = 1,857.34/x
  3. Step 3: Cross multiply
    3,613x = 5,420.34 × 1,857.34
  4. Step 4: Simplify right side
    3,613x = 10,067,414.30
  5. Step 5: Solve for x
    x = 10,067,414.30/3,613
  6. Step 6: Final answer
    x = 2,786.44

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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.