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Finding the Fourth Proportional to 12,299, 18,439.76 and 6,754.94

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Solution

The fourth proportional to 12,299, 18,439.76 and 6,754.94 is: 10,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299 : 18,439.76 = 6,754.94 : x
  2. Step 2: Convert to fraction form
    12,299/18,439.76 = 6,754.94/x
  3. Step 3: Cross multiply
    12,299x = 18,439.76 × 6,754.94
  4. Step 4: Simplify right side
    12,299x = 124,559,472.41
  5. Step 5: Solve for x
    x = 124,559,472.41/12,299
  6. Step 6: Final answer
    x = 10,127.61

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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.