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Finding the Fourth Proportional to 12,141.75, 18,212.64 and 6,943.98

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Solution

The fourth proportional to 12,141.75, 18,212.64 and 6,943.98 is: 10,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.75 : 18,212.64 = 6,943.98 : x
  2. Step 2: Convert to fraction form
    12,141.75/18,212.64 = 6,943.98/x
  3. Step 3: Cross multiply
    12,141.75x = 18,212.64 × 6,943.98
  4. Step 4: Simplify right side
    12,141.75x = 126,468,207.91
  5. Step 5: Solve for x
    x = 126,468,207.91/12,141.75
  6. Step 6: Final answer
    x = 10,415.98

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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.