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Finding the Fourth Proportional to 12,122.66, 18,203.12 and 7,214.21

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Solution

The fourth proportional to 12,122.66, 18,203.12 and 7,214.21 is: 10,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.66 : 18,203.12 = 7,214.21 : x
  2. Step 2: Convert to fraction form
    12,122.66/18,203.12 = 7,214.21/x
  3. Step 3: Cross multiply
    12,122.66x = 18,203.12 × 7,214.21
  4. Step 4: Simplify right side
    12,122.66x = 131,321,098.56
  5. Step 5: Solve for x
    x = 131,321,098.56/12,122.66
  6. Step 6: Final answer
    x = 10,832.69

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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.