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Finding the Fourth Proportional to 2,758.85, 4,137.97 and 909.42

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Solution

The fourth proportional to 2,758.85, 4,137.97 and 909.42 is: 1,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.85 : 4,137.97 = 909.42 : x
  2. Step 2: Convert to fraction form
    2,758.85/4,137.97 = 909.42/x
  3. Step 3: Cross multiply
    2,758.85x = 4,137.97 × 909.42
  4. Step 4: Simplify right side
    2,758.85x = 3,763,152.68
  5. Step 5: Solve for x
    x = 3,763,152.68/2,758.85
  6. Step 6: Final answer
    x = 1,364.03

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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.