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Finding the Fourth Proportional to 2,752.78, 3,795.09 and 1,965.46

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Solution

The fourth proportional to 2,752.78, 3,795.09 and 1,965.46 is: 2,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.78 : 3,795.09 = 1,965.46 : x
  2. Step 2: Convert to fraction form
    2,752.78/3,795.09 = 1,965.46/x
  3. Step 3: Cross multiply
    2,752.78x = 3,795.09 × 1,965.46
  4. Step 4: Simplify right side
    2,752.78x = 7,459,097.59
  5. Step 5: Solve for x
    x = 7,459,097.59/2,752.78
  6. Step 6: Final answer
    x = 2,709.66

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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.