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Finding the Fourth Proportional to 21,669, 29,903.22 and 11,733

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Solution

The fourth proportional to 21,669, 29,903.22 and 11,733 is: 16,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,669 : 29,903.22 = 11,733 : x
  2. Step 2: Convert to fraction form
    21,669/29,903.22 = 11,733/x
  3. Step 3: Cross multiply
    21,669x = 29,903.22 × 11,733
  4. Step 4: Simplify right side
    21,669x = 350,854,480.26
  5. Step 5: Solve for x
    x = 350,854,480.26/21,669
  6. Step 6: Final answer
    x = 16,191.54

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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.