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Finding the Fourth Proportional to 3,075.80, 4,608.30 and 2,643.80

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Solution

The fourth proportional to 3,075.80, 4,608.30 and 2,643.80 is: 3,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.80 : 4,608.30 = 2,643.80 : x
  2. Step 2: Convert to fraction form
    3,075.80/4,608.30 = 2,643.80/x
  3. Step 3: Cross multiply
    3,075.80x = 4,608.30 × 2,643.80
  4. Step 4: Simplify right side
    3,075.80x = 12,183,423.54
  5. Step 5: Solve for x
    x = 12,183,423.54/3,075.80
  6. Step 6: Final answer
    x = 3,961.06

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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.