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Finding the Fourth Proportional to 7,485, 11,224.62 and 3,099.48

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Solution

The fourth proportional to 7,485, 11,224.62 and 3,099.48 is: 4,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485 : 11,224.62 = 3,099.48 : x
  2. Step 2: Convert to fraction form
    7,485/11,224.62 = 3,099.48/x
  3. Step 3: Cross multiply
    7,485x = 11,224.62 × 3,099.48
  4. Step 4: Simplify right side
    7,485x = 34,790,485.20
  5. Step 5: Solve for x
    x = 34,790,485.20/7,485
  6. Step 6: Final answer
    x = 4,648.03

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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.