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Finding the Fourth Proportional to 21,654, 29,882.29 and 12,222.96

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Solution

The fourth proportional to 21,654, 29,882.29 and 12,222.96 is: 16,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 29,882.29 = 12,222.96 : x
  2. Step 2: Convert to fraction form
    21,654/29,882.29 = 12,222.96/x
  3. Step 3: Cross multiply
    21,654x = 29,882.29 × 12,222.96
  4. Step 4: Simplify right side
    21,654x = 365,250,035.38
  5. Step 5: Solve for x
    x = 365,250,035.38/21,654
  6. Step 6: Final answer
    x = 16,867.55

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1.5x scale

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.