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Finding the Fourth Proportional to 3,530, 5,294.96 and 1,223.12

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Solution

The fourth proportional to 3,530, 5,294.96 and 1,223.12 is: 1,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530 : 5,294.96 = 1,223.12 : x
  2. Step 2: Convert to fraction form
    3,530/5,294.96 = 1,223.12/x
  3. Step 3: Cross multiply
    3,530x = 5,294.96 × 1,223.12
  4. Step 4: Simplify right side
    3,530x = 6,476,371.48
  5. Step 5: Solve for x
    x = 6,476,371.48/3,530
  6. Step 6: Final answer
    x = 1,834.67

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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.