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Finding the Fourth Proportional to 8,381.10, 11,561.57 and 5,692.48

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Solution

The fourth proportional to 8,381.10, 11,561.57 and 5,692.48 is: 7,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.10 : 11,561.57 = 5,692.48 : x
  2. Step 2: Convert to fraction form
    8,381.10/11,561.57 = 5,692.48/x
  3. Step 3: Cross multiply
    8,381.10x = 11,561.57 × 5,692.48
  4. Step 4: Simplify right side
    8,381.10x = 65,813,969.97
  5. Step 5: Solve for x
    x = 65,813,969.97/8,381.10
  6. Step 6: Final answer
    x = 7,852.66

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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.