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Finding the Fourth Proportional to 11,821, 17,734.38 and 3,613

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Solution

The fourth proportional to 11,821, 17,734.38 and 3,613 is: 5,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821 : 17,734.38 = 3,613 : x
  2. Step 2: Convert to fraction form
    11,821/17,734.38 = 3,613/x
  3. Step 3: Cross multiply
    11,821x = 17,734.38 × 3,613
  4. Step 4: Simplify right side
    11,821x = 64,074,314.94
  5. Step 5: Solve for x
    x = 64,074,314.94/11,821
  6. Step 6: Final answer
    x = 5,420.38

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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.