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Finding the Fourth Proportional to 2,193.21, 3,290.34 and 732.48

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Solution

The fourth proportional to 2,193.21, 3,290.34 and 732.48 is: 1,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.21 : 3,290.34 = 732.48 : x
  2. Step 2: Convert to fraction form
    2,193.21/3,290.34 = 732.48/x
  3. Step 3: Cross multiply
    2,193.21x = 3,290.34 × 732.48
  4. Step 4: Simplify right side
    2,193.21x = 2,410,108.24
  5. Step 5: Solve for x
    x = 2,410,108.24/2,193.21
  6. Step 6: Final answer
    x = 1,098.90

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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.