Home / 1,544.40-2,305.80-1,413.72

Finding the Fourth Proportional to 1,544.40, 2,305.80 and 1,413.72

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Solution

The fourth proportional to 1,544.40, 2,305.80 and 1,413.72 is: 2,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.40 : 2,305.80 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    1,544.40/2,305.80 = 1,413.72/x
  3. Step 3: Cross multiply
    1,544.40x = 2,305.80 × 1,413.72
  4. Step 4: Simplify right side
    1,544.40x = 3,259,755.58
  5. Step 5: Solve for x
    x = 3,259,755.58/1,544.40
  6. Step 6: Final answer
    x = 2,110.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.