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Finding the Fourth Proportional to 4,491.91, 6,738.77 and 1,894.84

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Solution

The fourth proportional to 4,491.91, 6,738.77 and 1,894.84 is: 2,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.91 : 6,738.77 = 1,894.84 : x
  2. Step 2: Convert to fraction form
    4,491.91/6,738.77 = 1,894.84/x
  3. Step 3: Cross multiply
    4,491.91x = 6,738.77 × 1,894.84
  4. Step 4: Simplify right side
    4,491.91x = 12,768,890.95
  5. Step 5: Solve for x
    x = 12,768,890.95/4,491.91
  6. Step 6: Final answer
    x = 2,842.64

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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.