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Finding the Fourth Proportional to 6,499.53, 9,750.10 and 2,115.81

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Solution

The fourth proportional to 6,499.53, 9,750.10 and 2,115.81 is: 3,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.53 : 9,750.10 = 2,115.81 : x
  2. Step 2: Convert to fraction form
    6,499.53/9,750.10 = 2,115.81/x
  3. Step 3: Cross multiply
    6,499.53x = 9,750.10 × 2,115.81
  4. Step 4: Simplify right side
    6,499.53x = 20,629,299.75
  5. Step 5: Solve for x
    x = 20,629,299.75/6,499.53
  6. Step 6: Final answer
    x = 3,173.97

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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.