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Finding the Fourth Proportional to 10,772.80, 16,165.20 and 5,842.24

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Solution

The fourth proportional to 10,772.80, 16,165.20 and 5,842.24 is: 8,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.80 : 16,165.20 = 5,842.24 : x
  2. Step 2: Convert to fraction form
    10,772.80/16,165.20 = 5,842.24/x
  3. Step 3: Cross multiply
    10,772.80x = 16,165.20 × 5,842.24
  4. Step 4: Simplify right side
    10,772.80x = 94,440,978.05
  5. Step 5: Solve for x
    x = 94,440,978.05/10,772.80
  6. Step 6: Final answer
    x = 8,766.61

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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.