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Finding the Fourth Proportional to 11,311.56, 16,973.82 and 6,318.12

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Solution

The fourth proportional to 11,311.56, 16,973.82 and 6,318.12 is: 9,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.56 : 16,973.82 = 6,318.12 : x
  2. Step 2: Convert to fraction form
    11,311.56/16,973.82 = 6,318.12/x
  3. Step 3: Cross multiply
    11,311.56x = 16,973.82 × 6,318.12
  4. Step 4: Simplify right side
    11,311.56x = 107,242,631.62
  5. Step 5: Solve for x
    x = 107,242,631.62/11,311.56
  6. Step 6: Final answer
    x = 9,480.80

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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.