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Finding the Fourth Proportional to 21,658.88, 29,889.26 and 12,228.05

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Solution

The fourth proportional to 21,658.88, 29,889.26 and 12,228.05 is: 16,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.88 : 29,889.26 = 12,228.05 : x
  2. Step 2: Convert to fraction form
    21,658.88/29,889.26 = 12,228.05/x
  3. Step 3: Cross multiply
    21,658.88x = 29,889.26 × 12,228.05
  4. Step 4: Simplify right side
    21,658.88x = 365,487,155.16
  5. Step 5: Solve for x
    x = 365,487,155.16/21,658.88
  6. Step 6: Final answer
    x = 16,874.71

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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.