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Finding the Fourth Proportional to 12,141.40, 18,201.30 and 10,829.20

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Solution

The fourth proportional to 12,141.40, 18,201.30 and 10,829.20 is: 16,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.40 : 18,201.30 = 10,829.20 : x
  2. Step 2: Convert to fraction form
    12,141.40/18,201.30 = 10,829.20/x
  3. Step 3: Cross multiply
    12,141.40x = 18,201.30 × 10,829.20
  4. Step 4: Simplify right side
    12,141.40x = 197,105,517.96
  5. Step 5: Solve for x
    x = 197,105,517.96/12,141.40
  6. Step 6: Final answer
    x = 16,234.17

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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.