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Finding the Fourth Proportional to 2,603.98, 3,902.28 and 1,954

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Solution

The fourth proportional to 2,603.98, 3,902.28 and 1,954 is: 2,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.98 : 3,902.28 = 1,954 : x
  2. Step 2: Convert to fraction form
    2,603.98/3,902.28 = 1,954/x
  3. Step 3: Cross multiply
    2,603.98x = 3,902.28 × 1,954
  4. Step 4: Simplify right side
    2,603.98x = 7,625,055.12
  5. Step 5: Solve for x
    x = 7,625,055.12/2,603.98
  6. Step 6: Final answer
    x = 2,928.23

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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.