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Finding the Fourth Proportional to 7,837, 11,751.42 and 2,641

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Solution

The fourth proportional to 7,837, 11,751.42 and 2,641 is: 3,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837 : 11,751.42 = 2,641 : x
  2. Step 2: Convert to fraction form
    7,837/11,751.42 = 2,641/x
  3. Step 3: Cross multiply
    7,837x = 11,751.42 × 2,641
  4. Step 4: Simplify right side
    7,837x = 31,035,500.22
  5. Step 5: Solve for x
    x = 31,035,500.22/7,837
  6. Step 6: Final answer
    x = 3,960.13

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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.