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Finding the Fourth Proportional to 6,914.87, 10,372.28 and 1,720.74

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Solution

The fourth proportional to 6,914.87, 10,372.28 and 1,720.74 is: 2,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.87 : 10,372.28 = 1,720.74 : x
  2. Step 2: Convert to fraction form
    6,914.87/10,372.28 = 1,720.74/x
  3. Step 3: Cross multiply
    6,914.87x = 10,372.28 × 1,720.74
  4. Step 4: Simplify right side
    6,914.87x = 17,847,997.09
  5. Step 5: Solve for x
    x = 17,847,997.09/6,914.87
  6. Step 6: Final answer
    x = 2,581.11

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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.