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Finding the Fourth Proportional to 9,175.87, 12,662.68 and 5,197.22

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Solution

The fourth proportional to 9,175.87, 12,662.68 and 5,197.22 is: 7,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.87 : 12,662.68 = 5,197.22 : x
  2. Step 2: Convert to fraction form
    9,175.87/12,662.68 = 5,197.22/x
  3. Step 3: Cross multiply
    9,175.87x = 12,662.68 × 5,197.22
  4. Step 4: Simplify right side
    9,175.87x = 65,810,644.45
  5. Step 5: Solve for x
    x = 65,810,644.45/9,175.87
  6. Step 6: Final answer
    x = 7,172.15

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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.