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Finding the Fourth Proportional to 6,837.90, 10,255.05 and 2,157.90

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Solution

The fourth proportional to 6,837.90, 10,255.05 and 2,157.90 is: 3,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.90 : 10,255.05 = 2,157.90 : x
  2. Step 2: Convert to fraction form
    6,837.90/10,255.05 = 2,157.90/x
  3. Step 3: Cross multiply
    6,837.90x = 10,255.05 × 2,157.90
  4. Step 4: Simplify right side
    6,837.90x = 22,129,372.40
  5. Step 5: Solve for x
    x = 22,129,372.40/6,837.90
  6. Step 6: Final answer
    x = 3,236.28

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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.