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Finding the Fourth Proportional to 12,083, 18,122.70 and 3,763.24

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Solution

The fourth proportional to 12,083, 18,122.70 and 3,763.24 is: 5,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083 : 18,122.70 = 3,763.24 : x
  2. Step 2: Convert to fraction form
    12,083/18,122.70 = 3,763.24/x
  3. Step 3: Cross multiply
    12,083x = 18,122.70 × 3,763.24
  4. Step 4: Simplify right side
    12,083x = 68,200,069.55
  5. Step 5: Solve for x
    x = 68,200,069.55/12,083
  6. Step 6: Final answer
    x = 5,644.30

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Why These Related Problems?

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