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Finding the Fourth Proportional to 38,235, 52,764.48 and 21,468

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Solution

The fourth proportional to 38,235, 52,764.48 and 21,468 is: 29,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 52,764.48 = 21,468 : x
  2. Step 2: Convert to fraction form
    38,235/52,764.48 = 21,468/x
  3. Step 3: Cross multiply
    38,235x = 52,764.48 × 21,468
  4. Step 4: Simplify right side
    38,235x = 1,132,747,856.64
  5. Step 5: Solve for x
    x = 1,132,747,856.64/38,235
  6. Step 6: Final answer
    x = 29,625.94

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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.