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Finding the Fourth Proportional to 38,802, 53,546.76 and 21,138

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Solution

The fourth proportional to 38,802, 53,546.76 and 21,138 is: 29,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802 : 53,546.76 = 21,138 : x
  2. Step 2: Convert to fraction form
    38,802/53,546.76 = 21,138/x
  3. Step 3: Cross multiply
    38,802x = 53,546.76 × 21,138
  4. Step 4: Simplify right side
    38,802x = 1,131,871,412.88
  5. Step 5: Solve for x
    x = 1,131,871,412.88/38,802
  6. Step 6: Final answer
    x = 29,170.44

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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.