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Finding the Fourth Proportional to 9,319.78, 13,980.30 and 3,163.78

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Solution

The fourth proportional to 9,319.78, 13,980.30 and 3,163.78 is: 4,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.78 : 13,980.30 = 3,163.78 : x
  2. Step 2: Convert to fraction form
    9,319.78/13,980.30 = 3,163.78/x
  3. Step 3: Cross multiply
    9,319.78x = 13,980.30 × 3,163.78
  4. Step 4: Simplify right side
    9,319.78x = 44,230,593.53
  5. Step 5: Solve for x
    x = 44,230,593.53/9,319.78
  6. Step 6: Final answer
    x = 4,745.88

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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.