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Finding the Fourth Proportional to 2,757.99, 4,137.48 and 909.63

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Solution

The fourth proportional to 2,757.99, 4,137.48 and 909.63 is: 1,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.99 : 4,137.48 = 909.63 : x
  2. Step 2: Convert to fraction form
    2,757.99/4,137.48 = 909.63/x
  3. Step 3: Cross multiply
    2,757.99x = 4,137.48 × 909.63
  4. Step 4: Simplify right side
    2,757.99x = 3,763,575.93
  5. Step 5: Solve for x
    x = 3,763,575.93/2,757.99
  6. Step 6: Final answer
    x = 1,364.61

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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.