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Finding the Fourth Proportional to 8,832.96, 13,302 and 7,692.48

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Solution

The fourth proportional to 8,832.96, 13,302 and 7,692.48 is: 11,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.96 : 13,302 = 7,692.48 : x
  2. Step 2: Convert to fraction form
    8,832.96/13,302 = 7,692.48/x
  3. Step 3: Cross multiply
    8,832.96x = 13,302 × 7,692.48
  4. Step 4: Simplify right side
    8,832.96x = 102,325,368.96
  5. Step 5: Solve for x
    x = 102,325,368.96/8,832.96
  6. Step 6: Final answer
    x = 11,584.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.