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Finding the Fourth Proportional to 22,567, 31,142.46 and 12,631

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Solution

The fourth proportional to 22,567, 31,142.46 and 12,631 is: 17,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567 : 31,142.46 = 12,631 : x
  2. Step 2: Convert to fraction form
    22,567/31,142.46 = 12,631/x
  3. Step 3: Cross multiply
    22,567x = 31,142.46 × 12,631
  4. Step 4: Simplify right side
    22,567x = 393,360,412.26
  5. Step 5: Solve for x
    x = 393,360,412.26/22,567
  6. Step 6: Final answer
    x = 17,430.78

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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.