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Finding the Fourth Proportional to 14,909.49, 20,575.47 and 8,195.29

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Solution

The fourth proportional to 14,909.49, 20,575.47 and 8,195.29 is: 11,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.49 : 20,575.47 = 8,195.29 : x
  2. Step 2: Convert to fraction form
    14,909.49/20,575.47 = 8,195.29/x
  3. Step 3: Cross multiply
    14,909.49x = 20,575.47 × 8,195.29
  4. Step 4: Simplify right side
    14,909.49x = 168,621,943.54
  5. Step 5: Solve for x
    x = 168,621,943.54/14,909.49
  6. Step 6: Final answer
    x = 11,309.71

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