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Finding the Fourth Proportional to 13,850.60, 20,775.90 and 9,695.30

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Solution

The fourth proportional to 13,850.60, 20,775.90 and 9,695.30 is: 14,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.60 : 20,775.90 = 9,695.30 : x
  2. Step 2: Convert to fraction form
    13,850.60/20,775.90 = 9,695.30/x
  3. Step 3: Cross multiply
    13,850.60x = 20,775.90 × 9,695.30
  4. Step 4: Simplify right side
    13,850.60x = 201,428,583.27
  5. Step 5: Solve for x
    x = 201,428,583.27/13,850.60
  6. Step 6: Final answer
    x = 14,542.95

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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.