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Finding the Fourth Proportional to 7,471, 11,206.50 and 2,790.82

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Solution

The fourth proportional to 7,471, 11,206.50 and 2,790.82 is: 4,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471 : 11,206.50 = 2,790.82 : x
  2. Step 2: Convert to fraction form
    7,471/11,206.50 = 2,790.82/x
  3. Step 3: Cross multiply
    7,471x = 11,206.50 × 2,790.82
  4. Step 4: Simplify right side
    7,471x = 31,275,324.33
  5. Step 5: Solve for x
    x = 31,275,324.33/7,471
  6. Step 6: Final answer
    x = 4,186.23

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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.