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Finding the Fourth Proportional to 2,804.82, 3,868.10 and 2,245.36

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Solution

The fourth proportional to 2,804.82, 3,868.10 and 2,245.36 is: 3,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.82 : 3,868.10 = 2,245.36 : x
  2. Step 2: Convert to fraction form
    2,804.82/3,868.10 = 2,245.36/x
  3. Step 3: Cross multiply
    2,804.82x = 3,868.10 × 2,245.36
  4. Step 4: Simplify right side
    2,804.82x = 8,685,277.02
  5. Step 5: Solve for x
    x = 8,685,277.02/2,804.82
  6. Step 6: Final answer
    x = 3,096.55

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1.5x scale

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.