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Finding the Fourth Proportional to 2,193.69, 3,290.56 and 732.84

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Solution

The fourth proportional to 2,193.69, 3,290.56 and 732.84 is: 1,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.69 : 3,290.56 = 732.84 : x
  2. Step 2: Convert to fraction form
    2,193.69/3,290.56 = 732.84/x
  3. Step 3: Cross multiply
    2,193.69x = 3,290.56 × 732.84
  4. Step 4: Simplify right side
    2,193.69x = 2,411,453.99
  5. Step 5: Solve for x
    x = 2,411,453.99/2,193.69
  6. Step 6: Final answer
    x = 1,099.27

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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.