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Finding the Fourth Proportional to 2,896.95, 3,994.08 and 1,900.50

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Solution

The fourth proportional to 2,896.95, 3,994.08 and 1,900.50 is: 2,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.95 : 3,994.08 = 1,900.50 : x
  2. Step 2: Convert to fraction form
    2,896.95/3,994.08 = 1,900.50/x
  3. Step 3: Cross multiply
    2,896.95x = 3,994.08 × 1,900.50
  4. Step 4: Simplify right side
    2,896.95x = 7,590,749.04
  5. Step 5: Solve for x
    x = 7,590,749.04/2,896.95
  6. Step 6: Final answer
    x = 2,620.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.