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Finding the Fourth Proportional to 8,692.96, 12,006.16 and 5,855.42

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Solution

The fourth proportional to 8,692.96, 12,006.16 and 5,855.42 is: 8,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.96 : 12,006.16 = 5,855.42 : x
  2. Step 2: Convert to fraction form
    8,692.96/12,006.16 = 5,855.42/x
  3. Step 3: Cross multiply
    8,692.96x = 12,006.16 × 5,855.42
  4. Step 4: Simplify right side
    8,692.96x = 70,301,109.39
  5. Step 5: Solve for x
    x = 70,301,109.39/8,692.96
  6. Step 6: Final answer
    x = 8,087.13

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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.