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Finding the Fourth Proportional to 21,681.64, 29,923.41 and 12,250

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Solution

The fourth proportional to 21,681.64, 29,923.41 and 12,250 is: 16,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.64 : 29,923.41 = 12,250 : x
  2. Step 2: Convert to fraction form
    21,681.64/29,923.41 = 12,250/x
  3. Step 3: Cross multiply
    21,681.64x = 29,923.41 × 12,250
  4. Step 4: Simplify right side
    21,681.64x = 366,561,772.50
  5. Step 5: Solve for x
    x = 366,561,772.50/21,681.64
  6. Step 6: Final answer
    x = 16,906.55

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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.