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Finding the Fourth Proportional to 2,828.01, 3,902.81 and 1,649.01

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Solution

The fourth proportional to 2,828.01, 3,902.81 and 1,649.01 is: 2,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.01 : 3,902.81 = 1,649.01 : x
  2. Step 2: Convert to fraction form
    2,828.01/3,902.81 = 1,649.01/x
  3. Step 3: Cross multiply
    2,828.01x = 3,902.81 × 1,649.01
  4. Step 4: Simplify right side
    2,828.01x = 6,435,764.47
  5. Step 5: Solve for x
    x = 6,435,764.47/2,828.01
  6. Step 6: Final answer
    x = 2,275.72

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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.