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Finding the Fourth Proportional to 13,711.75, 20,567.63 and 4,477.75

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Solution

The fourth proportional to 13,711.75, 20,567.63 and 4,477.75 is: 6,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.75 : 20,567.63 = 4,477.75 : x
  2. Step 2: Convert to fraction form
    13,711.75/20,567.63 = 4,477.75/x
  3. Step 3: Cross multiply
    13,711.75x = 20,567.63 × 4,477.75
  4. Step 4: Simplify right side
    13,711.75x = 92,096,705.23
  5. Step 5: Solve for x
    x = 92,096,705.23/13,711.75
  6. Step 6: Final answer
    x = 6,716.63

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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.