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Finding the Fourth Proportional to 6,687.85, 10,027.68 and 3,178.93

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Solution

The fourth proportional to 6,687.85, 10,027.68 and 3,178.93 is: 4,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.85 : 10,027.68 = 3,178.93 : x
  2. Step 2: Convert to fraction form
    6,687.85/10,027.68 = 3,178.93/x
  3. Step 3: Cross multiply
    6,687.85x = 10,027.68 × 3,178.93
  4. Step 4: Simplify right side
    6,687.85x = 31,877,292.78
  5. Step 5: Solve for x
    x = 31,877,292.78/6,687.85
  6. Step 6: Final answer
    x = 4,766.45

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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.