Home / 2,830.50-3,907.64-1,981.06

Finding the Fourth Proportional to 2,830.50, 3,907.64 and 1,981.06

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Solution

The fourth proportional to 2,830.50, 3,907.64 and 1,981.06 is: 2,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.50 : 3,907.64 = 1,981.06 : x
  2. Step 2: Convert to fraction form
    2,830.50/3,907.64 = 1,981.06/x
  3. Step 3: Cross multiply
    2,830.50x = 3,907.64 × 1,981.06
  4. Step 4: Simplify right side
    2,830.50x = 7,741,269.30
  5. Step 5: Solve for x
    x = 7,741,269.30/2,830.50
  6. Step 6: Final answer
    x = 2,734.95

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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.