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Finding the Fourth Proportional to 22,816.96, 34,230.24 and 12,960.80

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Solution

The fourth proportional to 22,816.96, 34,230.24 and 12,960.80 is: 19,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.96 : 34,230.24 = 12,960.80 : x
  2. Step 2: Convert to fraction form
    22,816.96/34,230.24 = 12,960.80/x
  3. Step 3: Cross multiply
    22,816.96x = 34,230.24 × 12,960.80
  4. Step 4: Simplify right side
    22,816.96x = 443,651,294.59
  5. Step 5: Solve for x
    x = 443,651,294.59/22,816.96
  6. Step 6: Final answer
    x = 19,443.93

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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.