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Finding the Fourth Proportional to 13,851.42, 20,781.99 and 6,065.70

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Solution

The fourth proportional to 13,851.42, 20,781.99 and 6,065.70 is: 9,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.42 : 20,781.99 = 6,065.70 : x
  2. Step 2: Convert to fraction form
    13,851.42/20,781.99 = 6,065.70/x
  3. Step 3: Cross multiply
    13,851.42x = 20,781.99 × 6,065.70
  4. Step 4: Simplify right side
    13,851.42x = 126,057,316.74
  5. Step 5: Solve for x
    x = 126,057,316.74/13,851.42
  6. Step 6: Final answer
    x = 9,100.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.