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Finding the Fourth Proportional to 13,606.74, 20,412 and 4,247.46

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Solution

The fourth proportional to 13,606.74, 20,412 and 4,247.46 is: 6,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.74 : 20,412 = 4,247.46 : x
  2. Step 2: Convert to fraction form
    13,606.74/20,412 = 4,247.46/x
  3. Step 3: Cross multiply
    13,606.74x = 20,412 × 4,247.46
  4. Step 4: Simplify right side
    13,606.74x = 86,699,153.52
  5. Step 5: Solve for x
    x = 86,699,153.52/13,606.74
  6. Step 6: Final answer
    x = 6,371.78

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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.