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Finding the Fourth Proportional to 21,658, 29,888.04 and 11,722

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Solution

The fourth proportional to 21,658, 29,888.04 and 11,722 is: 16,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658 : 29,888.04 = 11,722 : x
  2. Step 2: Convert to fraction form
    21,658/29,888.04 = 11,722/x
  3. Step 3: Cross multiply
    21,658x = 29,888.04 × 11,722
  4. Step 4: Simplify right side
    21,658x = 350,347,604.88
  5. Step 5: Solve for x
    x = 350,347,604.88/21,658
  6. Step 6: Final answer
    x = 16,176.36

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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.