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Finding the Fourth Proportional to 13,772.59, 20,647.37 and 6,382.34

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Solution

The fourth proportional to 13,772.59, 20,647.37 and 6,382.34 is: 9,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.59 : 20,647.37 = 6,382.34 : x
  2. Step 2: Convert to fraction form
    13,772.59/20,647.37 = 6,382.34/x
  3. Step 3: Cross multiply
    13,772.59x = 20,647.37 × 6,382.34
  4. Step 4: Simplify right side
    13,772.59x = 131,778,503.53
  5. Step 5: Solve for x
    x = 131,778,503.53/13,772.59
  6. Step 6: Final answer
    x = 9,568.18

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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.