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Finding the Fourth Proportional to 2,628.85, 3,943.25 and 779.81

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Solution

The fourth proportional to 2,628.85, 3,943.25 and 779.81 is: 1,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.85 : 3,943.25 = 779.81 : x
  2. Step 2: Convert to fraction form
    2,628.85/3,943.25 = 779.81/x
  3. Step 3: Cross multiply
    2,628.85x = 3,943.25 × 779.81
  4. Step 4: Simplify right side
    2,628.85x = 3,074,972.49
  5. Step 5: Solve for x
    x = 3,074,972.49/2,628.85
  6. Step 6: Final answer
    x = 1,169.70

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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.