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Finding the Fourth Proportional to 22,633, 31,234.50 and 12,697

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Solution

The fourth proportional to 22,633, 31,234.50 and 12,697 is: 17,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633 : 31,234.50 = 12,697 : x
  2. Step 2: Convert to fraction form
    22,633/31,234.50 = 12,697/x
  3. Step 3: Cross multiply
    22,633x = 31,234.50 × 12,697
  4. Step 4: Simplify right side
    22,633x = 396,584,446.50
  5. Step 5: Solve for x
    x = 396,584,446.50/22,633
  6. Step 6: Final answer
    x = 17,522.40

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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.