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Finding the Fourth Proportional to 2,050.80, 3,075.90 and 751.98

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Solution

The fourth proportional to 2,050.80, 3,075.90 and 751.98 is: 1,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.80 : 3,075.90 = 751.98 : x
  2. Step 2: Convert to fraction form
    2,050.80/3,075.90 = 751.98/x
  3. Step 3: Cross multiply
    2,050.80x = 3,075.90 × 751.98
  4. Step 4: Simplify right side
    2,050.80x = 2,313,015.28
  5. Step 5: Solve for x
    x = 2,313,015.28/2,050.80
  6. Step 6: Final answer
    x = 1,127.86

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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.