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Finding the Fourth Proportional to 38,011, 52,456.80 and 21,244

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Solution

The fourth proportional to 38,011, 52,456.80 and 21,244 is: 29,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011 : 52,456.80 = 21,244 : x
  2. Step 2: Convert to fraction form
    38,011/52,456.80 = 21,244/x
  3. Step 3: Cross multiply
    38,011x = 52,456.80 × 21,244
  4. Step 4: Simplify right side
    38,011x = 1,114,392,259.20
  5. Step 5: Solve for x
    x = 1,114,392,259.20/38,011
  6. Step 6: Final answer
    x = 29,317.63

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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.