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Finding the Fourth Proportional to 21,552.48, 29,733 and 13,164

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Solution

The fourth proportional to 21,552.48, 29,733 and 13,164 is: 18,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,552.48 : 29,733 = 13,164 : x
  2. Step 2: Convert to fraction form
    21,552.48/29,733 = 13,164/x
  3. Step 3: Cross multiply
    21,552.48x = 29,733 × 13,164
  4. Step 4: Simplify right side
    21,552.48x = 391,405,212
  5. Step 5: Solve for x
    x = 391,405,212/21,552.48
  6. Step 6: Final answer
    x = 18,160.56

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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.