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Finding the Fourth Proportional to 38,269, 52,816.08 and 21,502

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Solution

The fourth proportional to 38,269, 52,816.08 and 21,502 is: 29,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269 : 52,816.08 = 21,502 : x
  2. Step 2: Convert to fraction form
    38,269/52,816.08 = 21,502/x
  3. Step 3: Cross multiply
    38,269x = 52,816.08 × 21,502
  4. Step 4: Simplify right side
    38,269x = 1,135,651,352.16
  5. Step 5: Solve for x
    x = 1,135,651,352.16/38,269
  6. Step 6: Final answer
    x = 29,675.49

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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.