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Finding the Fourth Proportional to 9,137.82, 12,593.18 and 7,145.22

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Solution

The fourth proportional to 9,137.82, 12,593.18 and 7,145.22 is: 9,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.82 : 12,593.18 = 7,145.22 : x
  2. Step 2: Convert to fraction form
    9,137.82/12,593.18 = 7,145.22/x
  3. Step 3: Cross multiply
    9,137.82x = 12,593.18 × 7,145.22
  4. Step 4: Simplify right side
    9,137.82x = 89,981,041.60
  5. Step 5: Solve for x
    x = 89,981,041.60/9,137.82
  6. Step 6: Final answer
    x = 9,847.10

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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.