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Finding the Fourth Proportional to 6,851, 10,261.92 and 6,467.60

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Solution

The fourth proportional to 6,851, 10,261.92 and 6,467.60 is: 9,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851 : 10,261.92 = 6,467.60 : x
  2. Step 2: Convert to fraction form
    6,851/10,261.92 = 6,467.60/x
  3. Step 3: Cross multiply
    6,851x = 10,261.92 × 6,467.60
  4. Step 4: Simplify right side
    6,851x = 66,369,993.79
  5. Step 5: Solve for x
    x = 66,369,993.79/6,851
  6. Step 6: Final answer
    x = 9,687.64

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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.