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Finding the Fourth Proportional to 38,495.90, 57,743.22 and 12,200.60

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Solution

The fourth proportional to 38,495.90, 57,743.22 and 12,200.60 is: 18,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.90 : 57,743.22 = 12,200.60 : x
  2. Step 2: Convert to fraction form
    38,495.90/57,743.22 = 12,200.60/x
  3. Step 3: Cross multiply
    38,495.90x = 57,743.22 × 12,200.60
  4. Step 4: Simplify right side
    38,495.90x = 704,501,929.93
  5. Step 5: Solve for x
    x = 704,501,929.93/38,495.90
  6. Step 6: Final answer
    x = 18,300.70

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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.