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Finding the Fourth Proportional to 3,783.44, 5,674.84 and 1,284.48

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Solution

The fourth proportional to 3,783.44, 5,674.84 and 1,284.48 is: 1,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.44 : 5,674.84 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    3,783.44/5,674.84 = 1,284.48/x
  3. Step 3: Cross multiply
    3,783.44x = 5,674.84 × 1,284.48
  4. Step 4: Simplify right side
    3,783.44x = 7,289,218.48
  5. Step 5: Solve for x
    x = 7,289,218.48/3,783.44
  6. Step 6: Final answer
    x = 1,926.61

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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.