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Finding the Fourth Proportional to 12,160.49, 18,229.91 and 4,770.23

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Solution

The fourth proportional to 12,160.49, 18,229.91 and 4,770.23 is: 7,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.49 : 18,229.91 = 4,770.23 : x
  2. Step 2: Convert to fraction form
    12,160.49/18,229.91 = 4,770.23/x
  3. Step 3: Cross multiply
    12,160.49x = 18,229.91 × 4,770.23
  4. Step 4: Simplify right side
    12,160.49x = 86,960,748.58
  5. Step 5: Solve for x
    x = 86,960,748.58/12,160.49
  6. Step 6: Final answer
    x = 7,151.09

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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.