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Finding the Fourth Proportional to 2,049.87, 3,075.01 and 662.88

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Solution

The fourth proportional to 2,049.87, 3,075.01 and 662.88 is: 994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.87 : 3,075.01 = 662.88 : x
  2. Step 2: Convert to fraction form
    2,049.87/3,075.01 = 662.88/x
  3. Step 3: Cross multiply
    2,049.87x = 3,075.01 × 662.88
  4. Step 4: Simplify right side
    2,049.87x = 2,038,362.63
  5. Step 5: Solve for x
    x = 2,038,362.63/2,049.87
  6. Step 6: Final answer
    x = 994.39

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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.