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Finding the Fourth Proportional to 2,794.45, 3,854.64 and 2,009.56

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Solution

The fourth proportional to 2,794.45, 3,854.64 and 2,009.56 is: 2,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.45 : 3,854.64 = 2,009.56 : x
  2. Step 2: Convert to fraction form
    2,794.45/3,854.64 = 2,009.56/x
  3. Step 3: Cross multiply
    2,794.45x = 3,854.64 × 2,009.56
  4. Step 4: Simplify right side
    2,794.45x = 7,746,130.36
  5. Step 5: Solve for x
    x = 7,746,130.36/2,794.45
  6. Step 6: Final answer
    x = 2,771.97

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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.