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Finding the Fourth Proportional to 6,476.40, 9,716.40 and 3,189.60

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Solution

The fourth proportional to 6,476.40, 9,716.40 and 3,189.60 is: 4,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.40 : 9,716.40 = 3,189.60 : x
  2. Step 2: Convert to fraction form
    6,476.40/9,716.40 = 3,189.60/x
  3. Step 3: Cross multiply
    6,476.40x = 9,716.40 × 3,189.60
  4. Step 4: Simplify right side
    6,476.40x = 30,991,429.44
  5. Step 5: Solve for x
    x = 30,991,429.44/6,476.40
  6. Step 6: Final answer
    x = 4,785.29

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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.