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Finding the Fourth Proportional to 2,193.87, 3,290.64 and 713.09

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Solution

The fourth proportional to 2,193.87, 3,290.64 and 713.09 is: 1,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.87 : 3,290.64 = 713.09 : x
  2. Step 2: Convert to fraction form
    2,193.87/3,290.64 = 713.09/x
  3. Step 3: Cross multiply
    2,193.87x = 3,290.64 × 713.09
  4. Step 4: Simplify right side
    2,193.87x = 2,346,524.41
  5. Step 5: Solve for x
    x = 2,346,524.41/2,193.87
  6. Step 6: Final answer
    x = 1,069.58

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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.