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Finding the Fourth Proportional to 13,834.09, 20,751.09 and 8,289.10

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Solution

The fourth proportional to 13,834.09, 20,751.09 and 8,289.10 is: 12,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.09 : 20,751.09 = 8,289.10 : x
  2. Step 2: Convert to fraction form
    13,834.09/20,751.09 = 8,289.10/x
  3. Step 3: Cross multiply
    13,834.09x = 20,751.09 × 8,289.10
  4. Step 4: Simplify right side
    13,834.09x = 172,007,860.12
  5. Step 5: Solve for x
    x = 172,007,860.12/13,834.09
  6. Step 6: Final answer
    x = 12,433.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.