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Finding the Fourth Proportional to 6,968.28, 9,615 and 4,173.84

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Solution

The fourth proportional to 6,968.28, 9,615 and 4,173.84 is: 5,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.28 : 9,615 = 4,173.84 : x
  2. Step 2: Convert to fraction form
    6,968.28/9,615 = 4,173.84/x
  3. Step 3: Cross multiply
    6,968.28x = 9,615 × 4,173.84
  4. Step 4: Simplify right side
    6,968.28x = 40,131,471.60
  5. Step 5: Solve for x
    x = 40,131,471.60/6,968.28
  6. Step 6: Final answer
    x = 5,759.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.