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Finding the Fourth Proportional to 21,684.64, 29,924.41 and 12,253

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Solution

The fourth proportional to 21,684.64, 29,924.41 and 12,253 is: 16,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.64 : 29,924.41 = 12,253 : x
  2. Step 2: Convert to fraction form
    21,684.64/29,924.41 = 12,253/x
  3. Step 3: Cross multiply
    21,684.64x = 29,924.41 × 12,253
  4. Step 4: Simplify right side
    21,684.64x = 366,663,795.73
  5. Step 5: Solve for x
    x = 366,663,795.73/21,684.64
  6. Step 6: Final answer
    x = 16,908.92

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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.