Home / 1,413.96-2,119.28-829.25

Finding the Fourth Proportional to 1,413.96, 2,119.28 and 829.25

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Solution

The fourth proportional to 1,413.96, 2,119.28 and 829.25 is: 1,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.96 : 2,119.28 = 829.25 : x
  2. Step 2: Convert to fraction form
    1,413.96/2,119.28 = 829.25/x
  3. Step 3: Cross multiply
    1,413.96x = 2,119.28 × 829.25
  4. Step 4: Simplify right side
    1,413.96x = 1,757,398.20
  5. Step 5: Solve for x
    x = 1,757,398.20/1,413.96
  6. Step 6: Final answer
    x = 1,242.89

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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.