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Finding the Fourth Proportional to 7,840.22, 11,761 and 2,573.64

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Solution

The fourth proportional to 7,840.22, 11,761 and 2,573.64 is: 3,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.22 : 11,761 = 2,573.64 : x
  2. Step 2: Convert to fraction form
    7,840.22/11,761 = 2,573.64/x
  3. Step 3: Cross multiply
    7,840.22x = 11,761 × 2,573.64
  4. Step 4: Simplify right side
    7,840.22x = 30,268,580.04
  5. Step 5: Solve for x
    x = 30,268,580.04/7,840.22
  6. Step 6: Final answer
    x = 3,860.68

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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.