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Finding the Fourth Proportional to 12,185.62, 18,276 and 3,420.62

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Solution

The fourth proportional to 12,185.62, 18,276 and 3,420.62 is: 5,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.62 : 18,276 = 3,420.62 : x
  2. Step 2: Convert to fraction form
    12,185.62/18,276 = 3,420.62/x
  3. Step 3: Cross multiply
    12,185.62x = 18,276 × 3,420.62
  4. Step 4: Simplify right side
    12,185.62x = 62,515,251.12
  5. Step 5: Solve for x
    x = 62,515,251.12/12,185.62
  6. Step 6: Final answer
    x = 5,130.25

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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.