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Finding the Fourth Proportional to 3,782.40, 5,662.40 and 2,812.80

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Solution

The fourth proportional to 3,782.40, 5,662.40 and 2,812.80 is: 4,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.40 : 5,662.40 = 2,812.80 : x
  2. Step 2: Convert to fraction form
    3,782.40/5,662.40 = 2,812.80/x
  3. Step 3: Cross multiply
    3,782.40x = 5,662.40 × 2,812.80
  4. Step 4: Simplify right side
    3,782.40x = 15,927,198.72
  5. Step 5: Solve for x
    x = 15,927,198.72/3,782.40
  6. Step 6: Final answer
    x = 4,210.87

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1.5x scale

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.