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Finding the Fourth Proportional to 21,904, 30,228.24 and 11,968

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Solution

The fourth proportional to 21,904, 30,228.24 and 11,968 is: 16,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904 : 30,228.24 = 11,968 : x
  2. Step 2: Convert to fraction form
    21,904/30,228.24 = 11,968/x
  3. Step 3: Cross multiply
    21,904x = 30,228.24 × 11,968
  4. Step 4: Simplify right side
    21,904x = 361,771,576.32
  5. Step 5: Solve for x
    x = 361,771,576.32/21,904
  6. Step 6: Final answer
    x = 16,516.23

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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.