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Finding the Fourth Proportional to 2,604.98, 3,903.78 and 1,955

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Solution

The fourth proportional to 2,604.98, 3,903.78 and 1,955 is: 2,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.98 : 3,903.78 = 1,955 : x
  2. Step 2: Convert to fraction form
    2,604.98/3,903.78 = 1,955/x
  3. Step 3: Cross multiply
    2,604.98x = 3,903.78 × 1,955
  4. Step 4: Simplify right side
    2,604.98x = 7,631,889.90
  5. Step 5: Solve for x
    x = 7,631,889.90/2,604.98
  6. Step 6: Final answer
    x = 2,929.73

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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.