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Finding the Fourth Proportional to 7,449.78, 11,168.73 and 4,819.98

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Solution

The fourth proportional to 7,449.78, 11,168.73 and 4,819.98 is: 7,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.78 : 11,168.73 = 4,819.98 : x
  2. Step 2: Convert to fraction form
    7,449.78/11,168.73 = 4,819.98/x
  3. Step 3: Cross multiply
    7,449.78x = 11,168.73 × 4,819.98
  4. Step 4: Simplify right side
    7,449.78x = 53,833,055.23
  5. Step 5: Solve for x
    x = 53,833,055.23/7,449.78
  6. Step 6: Final answer
    x = 7,226.13

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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.