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Finding the Fourth Proportional to 3,958, 5,937.96 and 1,222

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Solution

The fourth proportional to 3,958, 5,937.96 and 1,222 is: 1,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958 : 5,937.96 = 1,222 : x
  2. Step 2: Convert to fraction form
    3,958/5,937.96 = 1,222/x
  3. Step 3: Cross multiply
    3,958x = 5,937.96 × 1,222
  4. Step 4: Simplify right side
    3,958x = 7,256,187.12
  5. Step 5: Solve for x
    x = 7,256,187.12/3,958
  6. Step 6: Final answer
    x = 1,833.30

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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.