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Finding the Fourth Proportional to 2,651.83, 3,977.85 and 704.05

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Solution

The fourth proportional to 2,651.83, 3,977.85 and 704.05 is: 1,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.83 : 3,977.85 = 704.05 : x
  2. Step 2: Convert to fraction form
    2,651.83/3,977.85 = 704.05/x
  3. Step 3: Cross multiply
    2,651.83x = 3,977.85 × 704.05
  4. Step 4: Simplify right side
    2,651.83x = 2,800,603.53
  5. Step 5: Solve for x
    x = 2,800,603.53/2,651.83
  6. Step 6: Final answer
    x = 1,056.10

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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.