Home / 2,828.10-3,902.64-1,648.98

Finding the Fourth Proportional to 2,828.10, 3,902.64 and 1,648.98

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Solution

The fourth proportional to 2,828.10, 3,902.64 and 1,648.98 is: 2,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.10 : 3,902.64 = 1,648.98 : x
  2. Step 2: Convert to fraction form
    2,828.10/3,902.64 = 1,648.98/x
  3. Step 3: Cross multiply
    2,828.10x = 3,902.64 × 1,648.98
  4. Step 4: Simplify right side
    2,828.10x = 6,435,375.31
  5. Step 5: Solve for x
    x = 6,435,375.31/2,828.10
  6. Step 6: Final answer
    x = 2,275.51

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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.