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Finding the Fourth Proportional to 6,774.78, 10,163.82 and 2,157.78

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Solution

The fourth proportional to 6,774.78, 10,163.82 and 2,157.78 is: 3,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.78 : 10,163.82 = 2,157.78 : x
  2. Step 2: Convert to fraction form
    6,774.78/10,163.82 = 2,157.78/x
  3. Step 3: Cross multiply
    6,774.78x = 10,163.82 × 2,157.78
  4. Step 4: Simplify right side
    6,774.78x = 21,931,287.52
  5. Step 5: Solve for x
    x = 21,931,287.52/6,774.78
  6. Step 6: Final answer
    x = 3,237.20

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1.5x scale

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.