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Finding the Fourth Proportional to 2,603.42, 3,906.75 and 1,899.40

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Solution

The fourth proportional to 2,603.42, 3,906.75 and 1,899.40 is: 2,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.42 : 3,906.75 = 1,899.40 : x
  2. Step 2: Convert to fraction form
    2,603.42/3,906.75 = 1,899.40/x
  3. Step 3: Cross multiply
    2,603.42x = 3,906.75 × 1,899.40
  4. Step 4: Simplify right side
    2,603.42x = 7,420,461.42
  5. Step 5: Solve for x
    x = 7,420,461.42/2,603.42
  6. Step 6: Final answer
    x = 2,850.27

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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.