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Finding the Fourth Proportional to 7,227.81, 9,974.81 and 4,990.73

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Solution

The fourth proportional to 7,227.81, 9,974.81 and 4,990.73 is: 6,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.81 : 9,974.81 = 4,990.73 : x
  2. Step 2: Convert to fraction form
    7,227.81/9,974.81 = 4,990.73/x
  3. Step 3: Cross multiply
    7,227.81x = 9,974.81 × 4,990.73
  4. Step 4: Simplify right side
    7,227.81x = 49,781,546.11
  5. Step 5: Solve for x
    x = 49,781,546.11/7,227.81
  6. Step 6: Final answer
    x = 6,887.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.