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Finding the Fourth Proportional to 13,422.76, 20,113.60 and 9,023.92

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Solution

The fourth proportional to 13,422.76, 20,113.60 and 9,023.92 is: 13,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.76 : 20,113.60 = 9,023.92 : x
  2. Step 2: Convert to fraction form
    13,422.76/20,113.60 = 9,023.92/x
  3. Step 3: Cross multiply
    13,422.76x = 20,113.60 × 9,023.92
  4. Step 4: Simplify right side
    13,422.76x = 181,503,517.31
  5. Step 5: Solve for x
    x = 181,503,517.31/13,422.76
  6. Step 6: Final answer
    x = 13,522.07

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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.