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Finding the Fourth Proportional to 14,550.84, 20,078.49 and 8,176.56

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Solution

The fourth proportional to 14,550.84, 20,078.49 and 8,176.56 is: 11,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.84 : 20,078.49 = 8,176.56 : x
  2. Step 2: Convert to fraction form
    14,550.84/20,078.49 = 8,176.56/x
  3. Step 3: Cross multiply
    14,550.84x = 20,078.49 × 8,176.56
  4. Step 4: Simplify right side
    14,550.84x = 164,172,978.19
  5. Step 5: Solve for x
    x = 164,172,978.19/14,550.84
  6. Step 6: Final answer
    x = 11,282.71

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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.