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Finding the Fourth Proportional to 10,684.20, 16,023.42 and 7,242.60

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Solution

The fourth proportional to 10,684.20, 16,023.42 and 7,242.60 is: 10,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.20 : 16,023.42 = 7,242.60 : x
  2. Step 2: Convert to fraction form
    10,684.20/16,023.42 = 7,242.60/x
  3. Step 3: Cross multiply
    10,684.20x = 16,023.42 × 7,242.60
  4. Step 4: Simplify right side
    10,684.20x = 116,051,221.69
  5. Step 5: Solve for x
    x = 116,051,221.69/10,684.20
  6. Step 6: Final answer
    x = 10,861.95

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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.