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Finding the Fourth Proportional to 22,615, 31,208.70 and 12,679

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Solution

The fourth proportional to 22,615, 31,208.70 and 12,679 is: 17,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615 : 31,208.70 = 12,679 : x
  2. Step 2: Convert to fraction form
    22,615/31,208.70 = 12,679/x
  3. Step 3: Cross multiply
    22,615x = 31,208.70 × 12,679
  4. Step 4: Simplify right side
    22,615x = 395,695,107.30
  5. Step 5: Solve for x
    x = 395,695,107.30/22,615
  6. Step 6: Final answer
    x = 17,497.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.