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Finding the Fourth Proportional to 38,578, 53,237.96 and 20,914

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Solution

The fourth proportional to 38,578, 53,237.96 and 20,914 is: 28,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578 : 53,237.96 = 20,914 : x
  2. Step 2: Convert to fraction form
    38,578/53,237.96 = 20,914/x
  3. Step 3: Cross multiply
    38,578x = 53,237.96 × 20,914
  4. Step 4: Simplify right side
    38,578x = 1,113,418,695.44
  5. Step 5: Solve for x
    x = 1,113,418,695.44/38,578
  6. Step 6: Final answer
    x = 28,861.49

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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.