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Finding the Fourth Proportional to 14,634, 20,189.07 and 8,663.49

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Solution

The fourth proportional to 14,634, 20,189.07 and 8,663.49 is: 11,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634 : 20,189.07 = 8,663.49 : x
  2. Step 2: Convert to fraction form
    14,634/20,189.07 = 8,663.49/x
  3. Step 3: Cross multiply
    14,634x = 20,189.07 × 8,663.49
  4. Step 4: Simplify right side
    14,634x = 174,907,806.05
  5. Step 5: Solve for x
    x = 174,907,806.05/14,634
  6. Step 6: Final answer
    x = 11,952.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.