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Finding the Fourth Proportional to 38,214, 52,735.32 and 21,447

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Solution

The fourth proportional to 38,214, 52,735.32 and 21,447 is: 29,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214 : 52,735.32 = 21,447 : x
  2. Step 2: Convert to fraction form
    38,214/52,735.32 = 21,447/x
  3. Step 3: Cross multiply
    38,214x = 52,735.32 × 21,447
  4. Step 4: Simplify right side
    38,214x = 1,131,014,408.04
  5. Step 5: Solve for x
    x = 1,131,014,408.04/38,214
  6. Step 6: Final answer
    x = 29,596.86

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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.