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Finding the Fourth Proportional to 7,660.73, 11,491.73 and 3,278.23

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Solution

The fourth proportional to 7,660.73, 11,491.73 and 3,278.23 is: 4,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.73 : 11,491.73 = 3,278.23 : x
  2. Step 2: Convert to fraction form
    7,660.73/11,491.73 = 3,278.23/x
  3. Step 3: Cross multiply
    7,660.73x = 11,491.73 × 3,278.23
  4. Step 4: Simplify right side
    7,660.73x = 37,672,534.04
  5. Step 5: Solve for x
    x = 37,672,534.04/7,660.73
  6. Step 6: Final answer
    x = 4,917.62

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1.5x scale

Why These Related Problems?

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