Home / 3,413.08-5,112.42-1,565.74

Finding the Fourth Proportional to 3,413.08, 5,112.42 and 1,565.74

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Solution

The fourth proportional to 3,413.08, 5,112.42 and 1,565.74 is: 2,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.08 : 5,112.42 = 1,565.74 : x
  2. Step 2: Convert to fraction form
    3,413.08/5,112.42 = 1,565.74/x
  3. Step 3: Cross multiply
    3,413.08x = 5,112.42 × 1,565.74
  4. Step 4: Simplify right side
    3,413.08x = 8,004,720.49
  5. Step 5: Solve for x
    x = 8,004,720.49/3,413.08
  6. Step 6: Final answer
    x = 2,345.31

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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.