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Finding the Fourth Proportional to 38,960, 53,764.80 and 21,296

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Solution

The fourth proportional to 38,960, 53,764.80 and 21,296 is: 29,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960 : 53,764.80 = 21,296 : x
  2. Step 2: Convert to fraction form
    38,960/53,764.80 = 21,296/x
  3. Step 3: Cross multiply
    38,960x = 53,764.80 × 21,296
  4. Step 4: Simplify right side
    38,960x = 1,144,975,180.80
  5. Step 5: Solve for x
    x = 1,144,975,180.80/38,960
  6. Step 6: Final answer
    x = 29,388.48

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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.