Home / 2,077.78-2,862.99-1,413.47

Finding the Fourth Proportional to 2,077.78, 2,862.99 and 1,413.47

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Solution

The fourth proportional to 2,077.78, 2,862.99 and 1,413.47 is: 1,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.78 : 2,862.99 = 1,413.47 : x
  2. Step 2: Convert to fraction form
    2,077.78/2,862.99 = 1,413.47/x
  3. Step 3: Cross multiply
    2,077.78x = 2,862.99 × 1,413.47
  4. Step 4: Simplify right side
    2,077.78x = 4,046,750.48
  5. Step 5: Solve for x
    x = 4,046,750.48/2,077.78
  6. Step 6: Final answer
    x = 1,947.63

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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.