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Finding the Fourth Proportional to 7,454.52, 11,181.80 and 3,072.32

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Solution

The fourth proportional to 7,454.52, 11,181.80 and 3,072.32 is: 4,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.52 : 11,181.80 = 3,072.32 : x
  2. Step 2: Convert to fraction form
    7,454.52/11,181.80 = 3,072.32/x
  3. Step 3: Cross multiply
    7,454.52x = 11,181.80 × 3,072.32
  4. Step 4: Simplify right side
    7,454.52x = 34,354,067.78
  5. Step 5: Solve for x
    x = 34,354,067.78/7,454.52
  6. Step 6: Final answer
    x = 4,608.49

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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.