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Finding the Fourth Proportional to 13,851.69, 20,781.10 and 3,991.74

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Solution

The fourth proportional to 13,851.69, 20,781.10 and 3,991.74 is: 5,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.69 : 20,781.10 = 3,991.74 : x
  2. Step 2: Convert to fraction form
    13,851.69/20,781.10 = 3,991.74/x
  3. Step 3: Cross multiply
    13,851.69x = 20,781.10 × 3,991.74
  4. Step 4: Simplify right side
    13,851.69x = 82,952,748.11
  5. Step 5: Solve for x
    x = 82,952,748.11/13,851.69
  6. Step 6: Final answer
    x = 5,988.64

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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.