Home / 1,413.29-2,120.67-1,026.48

Finding the Fourth Proportional to 1,413.29, 2,120.67 and 1,026.48

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Solution

The fourth proportional to 1,413.29, 2,120.67 and 1,026.48 is: 1,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.29 : 2,120.67 = 1,026.48 : x
  2. Step 2: Convert to fraction form
    1,413.29/2,120.67 = 1,026.48/x
  3. Step 3: Cross multiply
    1,413.29x = 2,120.67 × 1,026.48
  4. Step 4: Simplify right side
    1,413.29x = 2,176,825.34
  5. Step 5: Solve for x
    x = 2,176,825.34/1,413.29
  6. Step 6: Final answer
    x = 1,540.25

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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.