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Finding the Fourth Proportional to 2,049.72, 3,075.75 and 879.60

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Solution

The fourth proportional to 2,049.72, 3,075.75 and 879.60 is: 1,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.72 : 3,075.75 = 879.60 : x
  2. Step 2: Convert to fraction form
    2,049.72/3,075.75 = 879.60/x
  3. Step 3: Cross multiply
    2,049.72x = 3,075.75 × 879.60
  4. Step 4: Simplify right side
    2,049.72x = 2,705,429.70
  5. Step 5: Solve for x
    x = 2,705,429.70/2,049.72
  6. Step 6: Final answer
    x = 1,319.90

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1.5x scale

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.