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Finding the Fourth Proportional to 7,941.78, 11,905.11 and 2,744.01

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Solution

The fourth proportional to 7,941.78, 11,905.11 and 2,744.01 is: 4,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.78 : 11,905.11 = 2,744.01 : x
  2. Step 2: Convert to fraction form
    7,941.78/11,905.11 = 2,744.01/x
  3. Step 3: Cross multiply
    7,941.78x = 11,905.11 × 2,744.01
  4. Step 4: Simplify right side
    7,941.78x = 32,667,740.89
  5. Step 5: Solve for x
    x = 32,667,740.89/7,941.78
  6. Step 6: Final answer
    x = 4,113.40

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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.