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Finding the Fourth Proportional to 7,853.74, 11,782.55 and 3,906.87

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Solution

The fourth proportional to 7,853.74, 11,782.55 and 3,906.87 is: 5,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.74 : 11,782.55 = 3,906.87 : x
  2. Step 2: Convert to fraction form
    7,853.74/11,782.55 = 3,906.87/x
  3. Step 3: Cross multiply
    7,853.74x = 11,782.55 × 3,906.87
  4. Step 4: Simplify right side
    7,853.74x = 46,032,871.58
  5. Step 5: Solve for x
    x = 46,032,871.58/7,853.74
  6. Step 6: Final answer
    x = 5,861.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.