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Finding the Fourth Proportional to 22,244, 30,697.68 and 12,308

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Solution

The fourth proportional to 22,244, 30,697.68 and 12,308 is: 16,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244 : 30,697.68 = 12,308 : x
  2. Step 2: Convert to fraction form
    22,244/30,697.68 = 12,308/x
  3. Step 3: Cross multiply
    22,244x = 30,697.68 × 12,308
  4. Step 4: Simplify right side
    22,244x = 377,827,045.44
  5. Step 5: Solve for x
    x = 377,827,045.44/22,244
  6. Step 6: Final answer
    x = 16,985.57

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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.