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Finding the Fourth Proportional to 6,626.78, 9,144.94 and 3,939.86

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Solution

The fourth proportional to 6,626.78, 9,144.94 and 3,939.86 is: 5,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.78 : 9,144.94 = 3,939.86 : x
  2. Step 2: Convert to fraction form
    6,626.78/9,144.94 = 3,939.86/x
  3. Step 3: Cross multiply
    6,626.78x = 9,144.94 × 3,939.86
  4. Step 4: Simplify right side
    6,626.78x = 36,029,783.31
  5. Step 5: Solve for x
    x = 36,029,783.31/6,626.78
  6. Step 6: Final answer
    x = 5,437.00

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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.