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Finding the Fourth Proportional to 1,900.77, 2,852.52 and 1,080.64

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Solution

The fourth proportional to 1,900.77, 2,852.52 and 1,080.64 is: 1,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.77 : 2,852.52 = 1,080.64 : x
  2. Step 2: Convert to fraction form
    1,900.77/2,852.52 = 1,080.64/x
  3. Step 3: Cross multiply
    1,900.77x = 2,852.52 × 1,080.64
  4. Step 4: Simplify right side
    1,900.77x = 3,082,546.73
  5. Step 5: Solve for x
    x = 3,082,546.73/1,900.77
  6. Step 6: Final answer
    x = 1,621.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.