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Finding the Fourth Proportional to 6,174.45, 8,542.89 and 5,390.78

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Solution

The fourth proportional to 6,174.45, 8,542.89 and 5,390.78 is: 7,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.45 : 8,542.89 = 5,390.78 : x
  2. Step 2: Convert to fraction form
    6,174.45/8,542.89 = 5,390.78/x
  3. Step 3: Cross multiply
    6,174.45x = 8,542.89 × 5,390.78
  4. Step 4: Simplify right side
    6,174.45x = 46,052,797.84
  5. Step 5: Solve for x
    x = 46,052,797.84/6,174.45
  6. Step 6: Final answer
    x = 7,458.61

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1.5x scale

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.