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Finding the Fourth Proportional to 8,692.68, 13,032.54 and 5,229.12

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Solution

The fourth proportional to 8,692.68, 13,032.54 and 5,229.12 is: 7,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.68 : 13,032.54 = 5,229.12 : x
  2. Step 2: Convert to fraction form
    8,692.68/13,032.54 = 5,229.12/x
  3. Step 3: Cross multiply
    8,692.68x = 13,032.54 × 5,229.12
  4. Step 4: Simplify right side
    8,692.68x = 68,148,715.56
  5. Step 5: Solve for x
    x = 68,148,715.56/8,692.68
  6. Step 6: Final answer
    x = 7,839.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.