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Finding the Fourth Proportional to 21,593.28, 29,798.76 and 12,162

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Solution

The fourth proportional to 21,593.28, 29,798.76 and 12,162 is: 16,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.28 : 29,798.76 = 12,162 : x
  2. Step 2: Convert to fraction form
    21,593.28/29,798.76 = 12,162/x
  3. Step 3: Cross multiply
    21,593.28x = 29,798.76 × 12,162
  4. Step 4: Simplify right side
    21,593.28x = 362,412,519.12
  5. Step 5: Solve for x
    x = 362,412,519.12/21,593.28
  6. Step 6: Final answer
    x = 16,783.58

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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.