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Finding the Fourth Proportional to 38,493.60, 57,837.60 and 34,216.80

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Solution

The fourth proportional to 38,493.60, 57,837.60 and 34,216.80 is: 51,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.60 : 57,837.60 = 34,216.80 : x
  2. Step 2: Convert to fraction form
    38,493.60/57,837.60 = 34,216.80/x
  3. Step 3: Cross multiply
    38,493.60x = 57,837.60 × 34,216.80
  4. Step 4: Simplify right side
    38,493.60x = 1,979,017,591.68
  5. Step 5: Solve for x
    x = 1,979,017,591.68/38,493.60
  6. Step 6: Final answer
    x = 51,411.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.