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Finding the Fourth Proportional to 12,151.28, 16,768.29 and 6,847.16

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Solution

The fourth proportional to 12,151.28, 16,768.29 and 6,847.16 is: 9,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.28 : 16,768.29 = 6,847.16 : x
  2. Step 2: Convert to fraction form
    12,151.28/16,768.29 = 6,847.16/x
  3. Step 3: Cross multiply
    12,151.28x = 16,768.29 × 6,847.16
  4. Step 4: Simplify right side
    12,151.28x = 114,815,164.56
  5. Step 5: Solve for x
    x = 114,815,164.56/12,151.28
  6. Step 6: Final answer
    x = 9,448.81

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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.