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Finding the Fourth Proportional to 5,760.40, 7,949.50 and 3,242.60

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Solution

The fourth proportional to 5,760.40, 7,949.50 and 3,242.60 is: 4,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.40 : 7,949.50 = 3,242.60 : x
  2. Step 2: Convert to fraction form
    5,760.40/7,949.50 = 3,242.60/x
  3. Step 3: Cross multiply
    5,760.40x = 7,949.50 × 3,242.60
  4. Step 4: Simplify right side
    5,760.40x = 25,777,065.35
  5. Step 5: Solve for x
    x = 25,777,065.35/5,760.40
  6. Step 6: Final answer
    x = 4,474.87

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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.