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Finding the Fourth Proportional to 3,991.50, 5,506.29 and 2,813.22

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Solution

The fourth proportional to 3,991.50, 5,506.29 and 2,813.22 is: 3,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 5,506.29 = 2,813.22 : x
  2. Step 2: Convert to fraction form
    3,991.50/5,506.29 = 2,813.22/x
  3. Step 3: Cross multiply
    3,991.50x = 5,506.29 × 2,813.22
  4. Step 4: Simplify right side
    3,991.50x = 15,490,405.15
  5. Step 5: Solve for x
    x = 15,490,405.15/3,991.50
  6. Step 6: Final answer
    x = 3,880.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.