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Finding the Fourth Proportional to 13,441.14, 20,166.30 and 6,423.30

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Solution

The fourth proportional to 13,441.14, 20,166.30 and 6,423.30 is: 9,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.14 : 20,166.30 = 6,423.30 : x
  2. Step 2: Convert to fraction form
    13,441.14/20,166.30 = 6,423.30/x
  3. Step 3: Cross multiply
    13,441.14x = 20,166.30 × 6,423.30
  4. Step 4: Simplify right side
    13,441.14x = 129,534,194.79
  5. Step 5: Solve for x
    x = 129,534,194.79/13,441.14
  6. Step 6: Final answer
    x = 9,637.14

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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.