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Finding the Fourth Proportional to 11,319.17, 16,978.67 and 6,157.85

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Solution

The fourth proportional to 11,319.17, 16,978.67 and 6,157.85 is: 9,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.17 : 16,978.67 = 6,157.85 : x
  2. Step 2: Convert to fraction form
    11,319.17/16,978.67 = 6,157.85/x
  3. Step 3: Cross multiply
    11,319.17x = 16,978.67 × 6,157.85
  4. Step 4: Simplify right side
    11,319.17x = 104,552,033.56
  5. Step 5: Solve for x
    x = 104,552,033.56/11,319.17
  6. Step 6: Final answer
    x = 9,236.73

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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.