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Finding the Fourth Proportional to 7,485, 11,227.96 and 2,290.92

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Solution

The fourth proportional to 7,485, 11,227.96 and 2,290.92 is: 3,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485 : 11,227.96 = 2,290.92 : x
  2. Step 2: Convert to fraction form
    7,485/11,227.96 = 2,290.92/x
  3. Step 3: Cross multiply
    7,485x = 11,227.96 × 2,290.92
  4. Step 4: Simplify right side
    7,485x = 25,722,358.12
  5. Step 5: Solve for x
    x = 25,722,358.12/7,485
  6. Step 6: Final answer
    x = 3,436.52

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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.