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Finding the Fourth Proportional to 38,844, 53,604.80 and 21,180

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Solution

The fourth proportional to 38,844, 53,604.80 and 21,180 is: 29,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844 : 53,604.80 = 21,180 : x
  2. Step 2: Convert to fraction form
    38,844/53,604.80 = 21,180/x
  3. Step 3: Cross multiply
    38,844x = 53,604.80 × 21,180
  4. Step 4: Simplify right side
    38,844x = 1,135,349,664
  5. Step 5: Solve for x
    x = 1,135,349,664/38,844
  6. Step 6: Final answer
    x = 29,228.44

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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.