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Finding the Fourth Proportional to 2,193.96, 3,290.67 and 612.80

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Solution

The fourth proportional to 2,193.96, 3,290.67 and 612.80 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.96 : 3,290.67 = 612.80 : x
  2. Step 2: Convert to fraction form
    2,193.96/3,290.67 = 612.80/x
  3. Step 3: Cross multiply
    2,193.96x = 3,290.67 × 612.80
  4. Step 4: Simplify right side
    2,193.96x = 2,016,506.12
  5. Step 5: Solve for x
    x = 2,016,506.12/2,193.96
  6. Step 6: Final answer
    x = 919.12

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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.