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Finding the Fourth Proportional to 13,704.57, 18,892.53 and 8,980.65

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Solution

The fourth proportional to 13,704.57, 18,892.53 and 8,980.65 is: 12,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.57 : 18,892.53 = 8,980.65 : x
  2. Step 2: Convert to fraction form
    13,704.57/18,892.53 = 8,980.65/x
  3. Step 3: Cross multiply
    13,704.57x = 18,892.53 × 8,980.65
  4. Step 4: Simplify right side
    13,704.57x = 169,667,199.54
  5. Step 5: Solve for x
    x = 169,667,199.54/13,704.57
  6. Step 6: Final answer
    x = 12,380.34

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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.