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Finding the Fourth Proportional to 15,107.96, 20,847.48 and 8,824

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Solution

The fourth proportional to 15,107.96, 20,847.48 and 8,824 is: 12,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.96 : 20,847.48 = 8,824 : x
  2. Step 2: Convert to fraction form
    15,107.96/20,847.48 = 8,824/x
  3. Step 3: Cross multiply
    15,107.96x = 20,847.48 × 8,824
  4. Step 4: Simplify right side
    15,107.96x = 183,958,163.52
  5. Step 5: Solve for x
    x = 183,958,163.52/15,107.96
  6. Step 6: Final answer
    x = 12,176.24

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Why These Related Problems?

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