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Finding the Fourth Proportional to 6,200, 8,558.16 and 3,716

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Solution

The fourth proportional to 6,200, 8,558.16 and 3,716 is: 5,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200 : 8,558.16 = 3,716 : x
  2. Step 2: Convert to fraction form
    6,200/8,558.16 = 3,716/x
  3. Step 3: Cross multiply
    6,200x = 8,558.16 × 3,716
  4. Step 4: Simplify right side
    6,200x = 31,802,122.56
  5. Step 5: Solve for x
    x = 31,802,122.56/6,200
  6. Step 6: Final answer
    x = 5,129.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.