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Finding the Fourth Proportional to 5,219.67, 7,829.54 and 1,324.09

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Solution

The fourth proportional to 5,219.67, 7,829.54 and 1,324.09 is: 1,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.67 : 7,829.54 = 1,324.09 : x
  2. Step 2: Convert to fraction form
    5,219.67/7,829.54 = 1,324.09/x
  3. Step 3: Cross multiply
    5,219.67x = 7,829.54 × 1,324.09
  4. Step 4: Simplify right side
    5,219.67x = 10,367,015.62
  5. Step 5: Solve for x
    x = 10,367,015.62/5,219.67
  6. Step 6: Final answer
    x = 1,986.14

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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.