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Finding the Fourth Proportional to 7,857.53, 11,789.80 and 3,912.73

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Solution

The fourth proportional to 7,857.53, 11,789.80 and 3,912.73 is: 5,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.53 : 11,789.80 = 3,912.73 : x
  2. Step 2: Convert to fraction form
    7,857.53/11,789.80 = 3,912.73/x
  3. Step 3: Cross multiply
    7,857.53x = 11,789.80 × 3,912.73
  4. Step 4: Simplify right side
    7,857.53x = 46,130,304.15
  5. Step 5: Solve for x
    x = 46,130,304.15/7,857.53
  6. Step 6: Final answer
    x = 5,870.84

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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.