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Finding the Fourth Proportional to 5,171.72, 7,757.60 and 1,884.81

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Solution

The fourth proportional to 5,171.72, 7,757.60 and 1,884.81 is: 2,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.72 : 7,757.60 = 1,884.81 : x
  2. Step 2: Convert to fraction form
    5,171.72/7,757.60 = 1,884.81/x
  3. Step 3: Cross multiply
    5,171.72x = 7,757.60 × 1,884.81
  4. Step 4: Simplify right side
    5,171.72x = 14,621,592.63
  5. Step 5: Solve for x
    x = 14,621,592.63/5,171.72
  6. Step 6: Final answer
    x = 2,827.22

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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.