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Finding the Fourth Proportional to 14,812.21, 20,440.80 and 8,097.84

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Solution

The fourth proportional to 14,812.21, 20,440.80 and 8,097.84 is: 11,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.21 : 20,440.80 = 8,097.84 : x
  2. Step 2: Convert to fraction form
    14,812.21/20,440.80 = 8,097.84/x
  3. Step 3: Cross multiply
    14,812.21x = 20,440.80 × 8,097.84
  4. Step 4: Simplify right side
    14,812.21x = 165,526,327.87
  5. Step 5: Solve for x
    x = 165,526,327.87/14,812.21
  6. Step 6: Final answer
    x = 11,174.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.