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Finding the Fourth Proportional to 5,247.87, 7,871.81 and 1,736.94

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Solution

The fourth proportional to 5,247.87, 7,871.81 and 1,736.94 is: 2,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.87 : 7,871.81 = 1,736.94 : x
  2. Step 2: Convert to fraction form
    5,247.87/7,871.81 = 1,736.94/x
  3. Step 3: Cross multiply
    5,247.87x = 7,871.81 × 1,736.94
  4. Step 4: Simplify right side
    5,247.87x = 13,672,861.66
  5. Step 5: Solve for x
    x = 13,672,861.66/5,247.87
  6. Step 6: Final answer
    x = 2,605.41

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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.