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Finding the Fourth Proportional to 12,491.94, 18,738.09 and 8,302.02

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Solution

The fourth proportional to 12,491.94, 18,738.09 and 8,302.02 is: 12,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.94 : 18,738.09 = 8,302.02 : x
  2. Step 2: Convert to fraction form
    12,491.94/18,738.09 = 8,302.02/x
  3. Step 3: Cross multiply
    12,491.94x = 18,738.09 × 8,302.02
  4. Step 4: Simplify right side
    12,491.94x = 155,563,997.94
  5. Step 5: Solve for x
    x = 155,563,997.94/12,491.94
  6. Step 6: Final answer
    x = 12,453.15

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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.