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Finding the Fourth Proportional to 38,473, 53,092.90 and 20,809

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Solution

The fourth proportional to 38,473, 53,092.90 and 20,809 is: 28,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473 : 53,092.90 = 20,809 : x
  2. Step 2: Convert to fraction form
    38,473/53,092.90 = 20,809/x
  3. Step 3: Cross multiply
    38,473x = 53,092.90 × 20,809
  4. Step 4: Simplify right side
    38,473x = 1,104,810,156.10
  5. Step 5: Solve for x
    x = 1,104,810,156.10/38,473
  6. Step 6: Final answer
    x = 28,716.51

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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.