Home / 1,731.78-2,580.26-1,620

Finding the Fourth Proportional to 1,731.78, 2,580.26 and 1,620

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Solution

The fourth proportional to 1,731.78, 2,580.26 and 1,620 is: 2,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.78 : 2,580.26 = 1,620 : x
  2. Step 2: Convert to fraction form
    1,731.78/2,580.26 = 1,620/x
  3. Step 3: Cross multiply
    1,731.78x = 2,580.26 × 1,620
  4. Step 4: Simplify right side
    1,731.78x = 4,180,013.10
  5. Step 5: Solve for x
    x = 4,180,013.10/1,731.78
  6. Step 6: Final answer
    x = 2,413.71

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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.