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Finding the Fourth Proportional to 2,758.80, 4,138.16 and 810.94

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Solution

The fourth proportional to 2,758.80, 4,138.16 and 810.94 is: 1,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.80 : 4,138.16 = 810.94 : x
  2. Step 2: Convert to fraction form
    2,758.80/4,138.16 = 810.94/x
  3. Step 3: Cross multiply
    2,758.80x = 4,138.16 × 810.94
  4. Step 4: Simplify right side
    2,758.80x = 3,355,799.47
  5. Step 5: Solve for x
    x = 3,355,799.47/2,758.80
  6. Step 6: Final answer
    x = 1,216.40

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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.