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Finding the Fourth Proportional to 2,852.46, 3,932.46 and 2,790.36

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Solution

The fourth proportional to 2,852.46, 3,932.46 and 2,790.36 is: 3,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.46 : 3,932.46 = 2,790.36 : x
  2. Step 2: Convert to fraction form
    2,852.46/3,932.46 = 2,790.36/x
  3. Step 3: Cross multiply
    2,852.46x = 3,932.46 × 2,790.36
  4. Step 4: Simplify right side
    2,852.46x = 10,972,979.09
  5. Step 5: Solve for x
    x = 10,972,979.09/2,852.46
  6. Step 6: Final answer
    x = 3,846.85

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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.