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Finding the Fourth Proportional to 12,472.36, 18,708 and 3,112.42

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Solution

The fourth proportional to 12,472.36, 18,708 and 3,112.42 is: 4,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.36 : 18,708 = 3,112.42 : x
  2. Step 2: Convert to fraction form
    12,472.36/18,708 = 3,112.42/x
  3. Step 3: Cross multiply
    12,472.36x = 18,708 × 3,112.42
  4. Step 4: Simplify right side
    12,472.36x = 58,227,153.36
  5. Step 5: Solve for x
    x = 58,227,153.36/12,472.36
  6. Step 6: Final answer
    x = 4,668.50

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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.