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Finding the Fourth Proportional to 8,469.50, 11,688 and 4,692.74

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Solution

The fourth proportional to 8,469.50, 11,688 and 4,692.74 is: 6,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.50 : 11,688 = 4,692.74 : x
  2. Step 2: Convert to fraction form
    8,469.50/11,688 = 4,692.74/x
  3. Step 3: Cross multiply
    8,469.50x = 11,688 × 4,692.74
  4. Step 4: Simplify right side
    8,469.50x = 54,848,745.12
  5. Step 5: Solve for x
    x = 54,848,745.12/8,469.50
  6. Step 6: Final answer
    x = 6,476.03

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Why These Related Problems?

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