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Finding the Fourth Proportional to 2,919.83, 4,378.43 and 839.36

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Solution

The fourth proportional to 2,919.83, 4,378.43 and 839.36 is: 1,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.83 : 4,378.43 = 839.36 : x
  2. Step 2: Convert to fraction form
    2,919.83/4,378.43 = 839.36/x
  3. Step 3: Cross multiply
    2,919.83x = 4,378.43 × 839.36
  4. Step 4: Simplify right side
    2,919.83x = 3,675,079.00
  5. Step 5: Solve for x
    x = 3,675,079.00/2,919.83
  6. Step 6: Final answer
    x = 1,258.66

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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.