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Finding the Fourth Proportional to 21,685, 29,925.32 and 11,749

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Solution

The fourth proportional to 21,685, 29,925.32 and 11,749 is: 16,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685 : 29,925.32 = 11,749 : x
  2. Step 2: Convert to fraction form
    21,685/29,925.32 = 11,749/x
  3. Step 3: Cross multiply
    21,685x = 29,925.32 × 11,749
  4. Step 4: Simplify right side
    21,685x = 351,592,584.68
  5. Step 5: Solve for x
    x = 351,592,584.68/21,685
  6. Step 6: Final answer
    x = 16,213.63

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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.