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Finding the Fourth Proportional to 6,908, 10,372.38 and 4,147.03

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Solution

The fourth proportional to 6,908, 10,372.38 and 4,147.03 is: 6,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908 : 10,372.38 = 4,147.03 : x
  2. Step 2: Convert to fraction form
    6,908/10,372.38 = 4,147.03/x
  3. Step 3: Cross multiply
    6,908x = 10,372.38 × 4,147.03
  4. Step 4: Simplify right side
    6,908x = 43,014,519.17
  5. Step 5: Solve for x
    x = 43,014,519.17/6,908
  6. Step 6: Final answer
    x = 6,226.77

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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.