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Finding the Fourth Proportional to 12,464.53, 18,692.73 and 4,142.31

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Solution

The fourth proportional to 12,464.53, 18,692.73 and 4,142.31 is: 6,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.53 : 18,692.73 = 4,142.31 : x
  2. Step 2: Convert to fraction form
    12,464.53/18,692.73 = 4,142.31/x
  3. Step 3: Cross multiply
    12,464.53x = 18,692.73 × 4,142.31
  4. Step 4: Simplify right side
    12,464.53x = 77,431,082.41
  5. Step 5: Solve for x
    x = 77,431,082.41/12,464.53
  6. Step 6: Final answer
    x = 6,212.11

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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.