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Finding the Fourth Proportional to 38,451, 53,064 and 21,684

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Solution

The fourth proportional to 38,451, 53,064 and 21,684 is: 29,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451 : 53,064 = 21,684 : x
  2. Step 2: Convert to fraction form
    38,451/53,064 = 21,684/x
  3. Step 3: Cross multiply
    38,451x = 53,064 × 21,684
  4. Step 4: Simplify right side
    38,451x = 1,150,639,776
  5. Step 5: Solve for x
    x = 1,150,639,776/38,451
  6. Step 6: Final answer
    x = 29,924.83

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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.