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Finding the Fourth Proportional to 2,751.68, 3,795.78 and 1,807.62

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Solution

The fourth proportional to 2,751.68, 3,795.78 and 1,807.62 is: 2,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.68 : 3,795.78 = 1,807.62 : x
  2. Step 2: Convert to fraction form
    2,751.68/3,795.78 = 1,807.62/x
  3. Step 3: Cross multiply
    2,751.68x = 3,795.78 × 1,807.62
  4. Step 4: Simplify right side
    2,751.68x = 6,861,327.84
  5. Step 5: Solve for x
    x = 6,861,327.84/2,751.68
  6. Step 6: Final answer
    x = 2,493.51

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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.