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Finding the Fourth Proportional to 7,692.36, 11,528.82 and 6,647.46

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Solution

The fourth proportional to 7,692.36, 11,528.82 and 6,647.46 is: 9,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.36 : 11,528.82 = 6,647.46 : x
  2. Step 2: Convert to fraction form
    7,692.36/11,528.82 = 6,647.46/x
  3. Step 3: Cross multiply
    7,692.36x = 11,528.82 × 6,647.46
  4. Step 4: Simplify right side
    7,692.36x = 76,637,369.80
  5. Step 5: Solve for x
    x = 76,637,369.80/7,692.36
  6. Step 6: Final answer
    x = 9,962.79

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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.