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Finding the Fourth Proportional to 3,879.39, 5,840.94 and 3,420.12

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Solution

The fourth proportional to 3,879.39, 5,840.94 and 3,420.12 is: 5,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.39 : 5,840.94 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    3,879.39/5,840.94 = 3,420.12/x
  3. Step 3: Cross multiply
    3,879.39x = 5,840.94 × 3,420.12
  4. Step 4: Simplify right side
    3,879.39x = 19,976,715.71
  5. Step 5: Solve for x
    x = 19,976,715.71/3,879.39
  6. Step 6: Final answer
    x = 5,149.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.