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Finding the Fourth Proportional to 4,109, 5,670.42 and 2,639.56

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Solution

The fourth proportional to 4,109, 5,670.42 and 2,639.56 is: 3,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 5,670.42 = 2,639.56 : x
  2. Step 2: Convert to fraction form
    4,109/5,670.42 = 2,639.56/x
  3. Step 3: Cross multiply
    4,109x = 5,670.42 × 2,639.56
  4. Step 4: Simplify right side
    4,109x = 14,967,413.82
  5. Step 5: Solve for x
    x = 14,967,413.82/4,109
  6. Step 6: Final answer
    x = 3,642.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.