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Finding the Fourth Proportional to 4,491.81, 6,734.58 and 1,991.63

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Solution

The fourth proportional to 4,491.81, 6,734.58 and 1,991.63 is: 2,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.81 : 6,734.58 = 1,991.63 : x
  2. Step 2: Convert to fraction form
    4,491.81/6,734.58 = 1,991.63/x
  3. Step 3: Cross multiply
    4,491.81x = 6,734.58 × 1,991.63
  4. Step 4: Simplify right side
    4,491.81x = 13,412,791.57
  5. Step 5: Solve for x
    x = 13,412,791.57/4,491.81
  6. Step 6: Final answer
    x = 2,986.05

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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.