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Finding the Fourth Proportional to 12,351.96, 18,522 and 5,772.60

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Solution

The fourth proportional to 12,351.96, 18,522 and 5,772.60 is: 8,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.96 : 18,522 = 5,772.60 : x
  2. Step 2: Convert to fraction form
    12,351.96/18,522 = 5,772.60/x
  3. Step 3: Cross multiply
    12,351.96x = 18,522 × 5,772.60
  4. Step 4: Simplify right side
    12,351.96x = 106,920,097.20
  5. Step 5: Solve for x
    x = 106,920,097.20/12,351.96
  6. Step 6: Final answer
    x = 8,656.12

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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.