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Finding the Fourth Proportional to 12,157, 18,235.74 and 3,949

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Solution

The fourth proportional to 12,157, 18,235.74 and 3,949 is: 5,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157 : 18,235.74 = 3,949 : x
  2. Step 2: Convert to fraction form
    12,157/18,235.74 = 3,949/x
  3. Step 3: Cross multiply
    12,157x = 18,235.74 × 3,949
  4. Step 4: Simplify right side
    12,157x = 72,012,937.26
  5. Step 5: Solve for x
    x = 72,012,937.26/12,157
  6. Step 6: Final answer
    x = 5,923.58

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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.