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Finding the Fourth Proportional to 12,199.38, 18,285 and 5,611.74

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Solution

The fourth proportional to 12,199.38, 18,285 and 5,611.74 is: 8,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.38 : 18,285 = 5,611.74 : x
  2. Step 2: Convert to fraction form
    12,199.38/18,285 = 5,611.74/x
  3. Step 3: Cross multiply
    12,199.38x = 18,285 × 5,611.74
  4. Step 4: Simplify right side
    12,199.38x = 102,610,665.90
  5. Step 5: Solve for x
    x = 102,610,665.90/12,199.38
  6. Step 6: Final answer
    x = 8,411.14

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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.