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Finding the Fourth Proportional to 12,306.70, 18,460 and 3,072.70

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Solution

The fourth proportional to 12,306.70, 18,460 and 3,072.70 is: 4,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.70 : 18,460 = 3,072.70 : x
  2. Step 2: Convert to fraction form
    12,306.70/18,460 = 3,072.70/x
  3. Step 3: Cross multiply
    12,306.70x = 18,460 × 3,072.70
  4. Step 4: Simplify right side
    12,306.70x = 56,722,042
  5. Step 5: Solve for x
    x = 56,722,042/12,306.70
  6. Step 6: Final answer
    x = 4,609.04

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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.