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Finding the Fourth Proportional to 8,834.40, 12,195.84 and 5,692.32

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Solution

The fourth proportional to 8,834.40, 12,195.84 and 5,692.32 is: 7,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.40 : 12,195.84 = 5,692.32 : x
  2. Step 2: Convert to fraction form
    8,834.40/12,195.84 = 5,692.32/x
  3. Step 3: Cross multiply
    8,834.40x = 12,195.84 × 5,692.32
  4. Step 4: Simplify right side
    8,834.40x = 69,422,623.95
  5. Step 5: Solve for x
    x = 69,422,623.95/8,834.40
  6. Step 6: Final answer
    x = 7,858.22

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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.