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Finding the Fourth Proportional to 27,293.28, 40,939.92 and 9,768.12

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Solution

The fourth proportional to 27,293.28, 40,939.92 and 9,768.12 is: 14,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293.28 : 40,939.92 = 9,768.12 : x
  2. Step 2: Convert to fraction form
    27,293.28/40,939.92 = 9,768.12/x
  3. Step 3: Cross multiply
    27,293.28x = 40,939.92 × 9,768.12
  4. Step 4: Simplify right side
    27,293.28x = 399,906,051.35
  5. Step 5: Solve for x
    x = 399,906,051.35/27,293.28
  6. Step 6: Final answer
    x = 14,652.18

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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.