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Finding the Fourth Proportional to 12,196.54, 18,294.90 and 3,432.34

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Solution

The fourth proportional to 12,196.54, 18,294.90 and 3,432.34 is: 5,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.54 : 18,294.90 = 3,432.34 : x
  2. Step 2: Convert to fraction form
    12,196.54/18,294.90 = 3,432.34/x
  3. Step 3: Cross multiply
    12,196.54x = 18,294.90 × 3,432.34
  4. Step 4: Simplify right side
    12,196.54x = 62,794,317.07
  5. Step 5: Solve for x
    x = 62,794,317.07/12,196.54
  6. Step 6: Final answer
    x = 5,148.54

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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.