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Finding the Fourth Proportional to 3,278.98, 4,913.02 and 1,893.48

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Solution

The fourth proportional to 3,278.98, 4,913.02 and 1,893.48 is: 2,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.98 : 4,913.02 = 1,893.48 : x
  2. Step 2: Convert to fraction form
    3,278.98/4,913.02 = 1,893.48/x
  3. Step 3: Cross multiply
    3,278.98x = 4,913.02 × 1,893.48
  4. Step 4: Simplify right side
    3,278.98x = 9,302,705.11
  5. Step 5: Solve for x
    x = 9,302,705.11/3,278.98
  6. Step 6: Final answer
    x = 2,837.07

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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.