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Finding the Fourth Proportional to 2,758.49, 4,138.41 and 810.70

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Solution

The fourth proportional to 2,758.49, 4,138.41 and 810.70 is: 1,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.49 : 4,138.41 = 810.70 : x
  2. Step 2: Convert to fraction form
    2,758.49/4,138.41 = 810.70/x
  3. Step 3: Cross multiply
    2,758.49x = 4,138.41 × 810.70
  4. Step 4: Simplify right side
    2,758.49x = 3,355,008.99
  5. Step 5: Solve for x
    x = 3,355,008.99/2,758.49
  6. Step 6: Final answer
    x = 1,216.25

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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.