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Finding the Fourth Proportional to 21,852, 30,156.12 and 11,916

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Solution

The fourth proportional to 21,852, 30,156.12 and 11,916 is: 16,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852 : 30,156.12 = 11,916 : x
  2. Step 2: Convert to fraction form
    21,852/30,156.12 = 11,916/x
  3. Step 3: Cross multiply
    21,852x = 30,156.12 × 11,916
  4. Step 4: Simplify right side
    21,852x = 359,340,325.92
  5. Step 5: Solve for x
    x = 359,340,325.92/21,852
  6. Step 6: Final answer
    x = 16,444.28

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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.