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Finding the Fourth Proportional to 21,029.12, 29,025.24 and 12,644

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Solution

The fourth proportional to 21,029.12, 29,025.24 and 12,644 is: 17,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.12 : 29,025.24 = 12,644 : x
  2. Step 2: Convert to fraction form
    21,029.12/29,025.24 = 12,644/x
  3. Step 3: Cross multiply
    21,029.12x = 29,025.24 × 12,644
  4. Step 4: Simplify right side
    21,029.12x = 366,995,134.56
  5. Step 5: Solve for x
    x = 366,995,134.56/21,029.12
  6. Step 6: Final answer
    x = 17,451.76

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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.