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Finding the Fourth Proportional to 20,896.38, 31,349.81 and 9,790.13

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Solution

The fourth proportional to 20,896.38, 31,349.81 and 9,790.13 is: 14,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.38 : 31,349.81 = 9,790.13 : x
  2. Step 2: Convert to fraction form
    20,896.38/31,349.81 = 9,790.13/x
  3. Step 3: Cross multiply
    20,896.38x = 31,349.81 × 9,790.13
  4. Step 4: Simplify right side
    20,896.38x = 306,918,818.23
  5. Step 5: Solve for x
    x = 306,918,818.23/20,896.38
  6. Step 6: Final answer
    x = 14,687.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.