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Finding the Fourth Proportional to 8,311.37, 11,469.47 and 4,774.50

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Solution

The fourth proportional to 8,311.37, 11,469.47 and 4,774.50 is: 6,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.37 : 11,469.47 = 4,774.50 : x
  2. Step 2: Convert to fraction form
    8,311.37/11,469.47 = 4,774.50/x
  3. Step 3: Cross multiply
    8,311.37x = 11,469.47 × 4,774.50
  4. Step 4: Simplify right side
    8,311.37x = 54,760,960.64
  5. Step 5: Solve for x
    x = 54,760,960.64/8,311.37
  6. Step 6: Final answer
    x = 6,588.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.