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Finding the Fourth Proportional to 6,311, 8,720.10 and 5,191

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Solution

The fourth proportional to 6,311, 8,720.10 and 5,191 is: 7,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 8,720.10 = 5,191 : x
  2. Step 2: Convert to fraction form
    6,311/8,720.10 = 5,191/x
  3. Step 3: Cross multiply
    6,311x = 8,720.10 × 5,191
  4. Step 4: Simplify right side
    6,311x = 45,266,039.10
  5. Step 5: Solve for x
    x = 45,266,039.10/6,311
  6. Step 6: Final answer
    x = 7,172.56

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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.