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Finding the Fourth Proportional to 21,628, 29,846.68 and 11,692

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Solution

The fourth proportional to 21,628, 29,846.68 and 11,692 is: 16,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628 : 29,846.68 = 11,692 : x
  2. Step 2: Convert to fraction form
    21,628/29,846.68 = 11,692/x
  3. Step 3: Cross multiply
    21,628x = 29,846.68 × 11,692
  4. Step 4: Simplify right side
    21,628x = 348,967,382.56
  5. Step 5: Solve for x
    x = 348,967,382.56/21,628
  6. Step 6: Final answer
    x = 16,134.98

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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.