Home / 3,109.96-4,664.76-1,378

Finding the Fourth Proportional to 3,109.96, 4,664.76 and 1,378

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Solution

The fourth proportional to 3,109.96, 4,664.76 and 1,378 is: 2,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.96 : 4,664.76 = 1,378 : x
  2. Step 2: Convert to fraction form
    3,109.96/4,664.76 = 1,378/x
  3. Step 3: Cross multiply
    3,109.96x = 4,664.76 × 1,378
  4. Step 4: Simplify right side
    3,109.96x = 6,428,039.28
  5. Step 5: Solve for x
    x = 6,428,039.28/3,109.96
  6. Step 6: Final answer
    x = 2,066.92

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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.