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Finding the Fourth Proportional to 6,879.12, 9,490.14 and 4,083

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Solution

The fourth proportional to 6,879.12, 9,490.14 and 4,083 is: 5,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.12 : 9,490.14 = 4,083 : x
  2. Step 2: Convert to fraction form
    6,879.12/9,490.14 = 4,083/x
  3. Step 3: Cross multiply
    6,879.12x = 9,490.14 × 4,083
  4. Step 4: Simplify right side
    6,879.12x = 38,748,241.62
  5. Step 5: Solve for x
    x = 38,748,241.62/6,879.12
  6. Step 6: Final answer
    x = 5,632.73

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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.