Home / 2,828.04-3,902.40-1,648.86

Finding the Fourth Proportional to 2,828.04, 3,902.40 and 1,648.86

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Solution

The fourth proportional to 2,828.04, 3,902.40 and 1,648.86 is: 2,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.04 : 3,902.40 = 1,648.86 : x
  2. Step 2: Convert to fraction form
    2,828.04/3,902.40 = 1,648.86/x
  3. Step 3: Cross multiply
    2,828.04x = 3,902.40 × 1,648.86
  4. Step 4: Simplify right side
    2,828.04x = 6,434,511.26
  5. Step 5: Solve for x
    x = 6,434,511.26/2,828.04
  6. Step 6: Final answer
    x = 2,275.25

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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.