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Finding the Fourth Proportional to 3,879.74, 5,829.34 and 3,646.46

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Solution

The fourth proportional to 3,879.74, 5,829.34 and 3,646.46 is: 5,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.74 : 5,829.34 = 3,646.46 : x
  2. Step 2: Convert to fraction form
    3,879.74/5,829.34 = 3,646.46/x
  3. Step 3: Cross multiply
    3,879.74x = 5,829.34 × 3,646.46
  4. Step 4: Simplify right side
    3,879.74x = 21,256,455.14
  5. Step 5: Solve for x
    x = 21,256,455.14/3,879.74
  6. Step 6: Final answer
    x = 5,478.83

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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.