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Finding the Fourth Proportional to 12,143.93, 18,202.22 and 6,204.20

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Solution

The fourth proportional to 12,143.93, 18,202.22 and 6,204.20 is: 9,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.93 : 18,202.22 = 6,204.20 : x
  2. Step 2: Convert to fraction form
    12,143.93/18,202.22 = 6,204.20/x
  3. Step 3: Cross multiply
    12,143.93x = 18,202.22 × 6,204.20
  4. Step 4: Simplify right side
    12,143.93x = 112,930,213.32
  5. Step 5: Solve for x
    x = 112,930,213.32/12,143.93
  6. Step 6: Final answer
    x = 9,299.31

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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.