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Finding the Fourth Proportional to 13,574.57, 20,310.62 and 9,170.19

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Solution

The fourth proportional to 13,574.57, 20,310.62 and 9,170.19 is: 13,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.57 : 20,310.62 = 9,170.19 : x
  2. Step 2: Convert to fraction form
    13,574.57/20,310.62 = 9,170.19/x
  3. Step 3: Cross multiply
    13,574.57x = 20,310.62 × 9,170.19
  4. Step 4: Simplify right side
    13,574.57x = 186,252,198.57
  5. Step 5: Solve for x
    x = 186,252,198.57/13,574.57
  6. Step 6: Final answer
    x = 13,720.68

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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.