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Finding the Fourth Proportional to 5,181, 7,772.18 and 1,895.64

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Solution

The fourth proportional to 5,181, 7,772.18 and 1,895.64 is: 2,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181 : 7,772.18 = 1,895.64 : x
  2. Step 2: Convert to fraction form
    5,181/7,772.18 = 1,895.64/x
  3. Step 3: Cross multiply
    5,181x = 7,772.18 × 1,895.64
  4. Step 4: Simplify right side
    5,181x = 14,733,255.30
  5. Step 5: Solve for x
    x = 14,733,255.30/5,181
  6. Step 6: Final answer
    x = 2,843.71

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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.