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Finding the Fourth Proportional to 5,400.78, 7,449.05 and 4,795.86

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Solution

The fourth proportional to 5,400.78, 7,449.05 and 4,795.86 is: 6,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.78 : 7,449.05 = 4,795.86 : x
  2. Step 2: Convert to fraction form
    5,400.78/7,449.05 = 4,795.86/x
  3. Step 3: Cross multiply
    5,400.78x = 7,449.05 × 4,795.86
  4. Step 4: Simplify right side
    5,400.78x = 35,724,600.93
  5. Step 5: Solve for x
    x = 35,724,600.93/5,400.78
  6. Step 6: Final answer
    x = 6,614.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.