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Finding the Fourth Proportional to 7,941, 11,912.04 and 3,009.72

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Solution

The fourth proportional to 7,941, 11,912.04 and 3,009.72 is: 4,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 11,912.04 = 3,009.72 : x
  2. Step 2: Convert to fraction form
    7,941/11,912.04 = 3,009.72/x
  3. Step 3: Cross multiply
    7,941x = 11,912.04 × 3,009.72
  4. Step 4: Simplify right side
    7,941x = 35,851,905.03
  5. Step 5: Solve for x
    x = 35,851,905.03/7,941
  6. Step 6: Final answer
    x = 4,514.78

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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.