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Finding the Fourth Proportional to 12,242.28, 16,896.61 and 7,206.25

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Solution

The fourth proportional to 12,242.28, 16,896.61 and 7,206.25 is: 9,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.28 : 16,896.61 = 7,206.25 : x
  2. Step 2: Convert to fraction form
    12,242.28/16,896.61 = 7,206.25/x
  3. Step 3: Cross multiply
    12,242.28x = 16,896.61 × 7,206.25
  4. Step 4: Simplify right side
    12,242.28x = 121,761,195.81
  5. Step 5: Solve for x
    x = 121,761,195.81/12,242.28
  6. Step 6: Final answer
    x = 9,945.96

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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.