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Finding the Fourth Proportional to 21,191.68, 29,237.76 and 12,238

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Solution

The fourth proportional to 21,191.68, 29,237.76 and 12,238 is: 16,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.68 : 29,237.76 = 12,238 : x
  2. Step 2: Convert to fraction form
    21,191.68/29,237.76 = 12,238/x
  3. Step 3: Cross multiply
    21,191.68x = 29,237.76 × 12,238
  4. Step 4: Simplify right side
    21,191.68x = 357,811,706.88
  5. Step 5: Solve for x
    x = 357,811,706.88/21,191.68
  6. Step 6: Final answer
    x = 16,884.54

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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.