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Finding the Fourth Proportional to 21,077, 29,088.82 and 12,245

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Solution

The fourth proportional to 21,077, 29,088.82 and 12,245 is: 16,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077 : 29,088.82 = 12,245 : x
  2. Step 2: Convert to fraction form
    21,077/29,088.82 = 12,245/x
  3. Step 3: Cross multiply
    21,077x = 29,088.82 × 12,245
  4. Step 4: Simplify right side
    21,077x = 356,192,600.90
  5. Step 5: Solve for x
    x = 356,192,600.90/21,077
  6. Step 6: Final answer
    x = 16,899.59

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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.