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Finding the Fourth Proportional to 13,701.81, 20,552.94 and 3,840.48

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Solution

The fourth proportional to 13,701.81, 20,552.94 and 3,840.48 is: 5,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.81 : 20,552.94 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    13,701.81/20,552.94 = 3,840.48/x
  3. Step 3: Cross multiply
    13,701.81x = 20,552.94 × 3,840.48
  4. Step 4: Simplify right side
    13,701.81x = 78,933,155.01
  5. Step 5: Solve for x
    x = 78,933,155.01/13,701.81
  6. Step 6: Final answer
    x = 5,760.78

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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.