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Finding the Fourth Proportional to 38,643, 53,327.34 and 21,876

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Solution

The fourth proportional to 38,643, 53,327.34 and 21,876 is: 30,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 53,327.34 = 21,876 : x
  2. Step 2: Convert to fraction form
    38,643/53,327.34 = 21,876/x
  3. Step 3: Cross multiply
    38,643x = 53,327.34 × 21,876
  4. Step 4: Simplify right side
    38,643x = 1,166,588,889.84
  5. Step 5: Solve for x
    x = 1,166,588,889.84/38,643
  6. Step 6: Final answer
    x = 30,188.88

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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.