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Finding the Fourth Proportional to 2,786.90, 4,180.32 and 839.12

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Solution

The fourth proportional to 2,786.90, 4,180.32 and 839.12 is: 1,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.90 : 4,180.32 = 839.12 : x
  2. Step 2: Convert to fraction form
    2,786.90/4,180.32 = 839.12/x
  3. Step 3: Cross multiply
    2,786.90x = 4,180.32 × 839.12
  4. Step 4: Simplify right side
    2,786.90x = 3,507,790.12
  5. Step 5: Solve for x
    x = 3,507,790.12/2,786.90
  6. Step 6: Final answer
    x = 1,258.67

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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.