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Finding the Fourth Proportional to 7,871.88, 11,805.93 and 2,323.73

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Solution

The fourth proportional to 7,871.88, 11,805.93 and 2,323.73 is: 3,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.88 : 11,805.93 = 2,323.73 : x
  2. Step 2: Convert to fraction form
    7,871.88/11,805.93 = 2,323.73/x
  3. Step 3: Cross multiply
    7,871.88x = 11,805.93 × 2,323.73
  4. Step 4: Simplify right side
    7,871.88x = 27,433,734.69
  5. Step 5: Solve for x
    x = 27,433,734.69/7,871.88
  6. Step 6: Final answer
    x = 3,485.03

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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.