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Finding the Fourth Proportional to 5,786.96, 7,986.40 and 3,268.20

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Solution

The fourth proportional to 5,786.96, 7,986.40 and 3,268.20 is: 4,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.96 : 7,986.40 = 3,268.20 : x
  2. Step 2: Convert to fraction form
    5,786.96/7,986.40 = 3,268.20/x
  3. Step 3: Cross multiply
    5,786.96x = 7,986.40 × 3,268.20
  4. Step 4: Simplify right side
    5,786.96x = 26,101,152.48
  5. Step 5: Solve for x
    x = 26,101,152.48/5,786.96
  6. Step 6: Final answer
    x = 4,510.34

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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.