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Finding the Fourth Proportional to 14,651.43, 20,214 and 8,277.09

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Solution

The fourth proportional to 14,651.43, 20,214 and 8,277.09 is: 11,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.43 : 20,214 = 8,277.09 : x
  2. Step 2: Convert to fraction form
    14,651.43/20,214 = 8,277.09/x
  3. Step 3: Cross multiply
    14,651.43x = 20,214 × 8,277.09
  4. Step 4: Simplify right side
    14,651.43x = 167,313,097.26
  5. Step 5: Solve for x
    x = 167,313,097.26/14,651.43
  6. Step 6: Final answer
    x = 11,419.57

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1.5x scale

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.