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Finding the Fourth Proportional to 6,480.42, 9,719.64 and 3,192.60

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Solution

The fourth proportional to 6,480.42, 9,719.64 and 3,192.60 is: 4,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.42 : 9,719.64 = 3,192.60 : x
  2. Step 2: Convert to fraction form
    6,480.42/9,719.64 = 3,192.60/x
  3. Step 3: Cross multiply
    6,480.42x = 9,719.64 × 3,192.60
  4. Step 4: Simplify right side
    6,480.42x = 31,030,922.66
  5. Step 5: Solve for x
    x = 31,030,922.66/6,480.42
  6. Step 6: Final answer
    x = 4,788.41

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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.