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Finding the Fourth Proportional to 2,077.87, 3,117.41 and 779.44

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Solution

The fourth proportional to 2,077.87, 3,117.41 and 779.44 is: 1,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.87 : 3,117.41 = 779.44 : x
  2. Step 2: Convert to fraction form
    2,077.87/3,117.41 = 779.44/x
  3. Step 3: Cross multiply
    2,077.87x = 3,117.41 × 779.44
  4. Step 4: Simplify right side
    2,077.87x = 2,429,834.05
  5. Step 5: Solve for x
    x = 2,429,834.05/2,077.87
  6. Step 6: Final answer
    x = 1,169.39

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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.