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Finding the Fourth Proportional to 21,638, 29,860.53 and 11,702

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Solution

The fourth proportional to 21,638, 29,860.53 and 11,702 is: 16,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 29,860.53 = 11,702 : x
  2. Step 2: Convert to fraction form
    21,638/29,860.53 = 11,702/x
  3. Step 3: Cross multiply
    21,638x = 29,860.53 × 11,702
  4. Step 4: Simplify right side
    21,638x = 349,427,922.06
  5. Step 5: Solve for x
    x = 349,427,922.06/21,638
  6. Step 6: Final answer
    x = 16,148.81

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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.