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Finding the Fourth Proportional to 12,242.73, 16,898.79 and 7,206.56

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Solution

The fourth proportional to 12,242.73, 16,898.79 and 7,206.56 is: 9,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.73 : 16,898.79 = 7,206.56 : x
  2. Step 2: Convert to fraction form
    12,242.73/16,898.79 = 7,206.56/x
  3. Step 3: Cross multiply
    12,242.73x = 16,898.79 × 7,206.56
  4. Step 4: Simplify right side
    12,242.73x = 121,782,144.06
  5. Step 5: Solve for x
    x = 121,782,144.06/12,242.73
  6. Step 6: Final answer
    x = 9,947.30

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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.