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Finding the Fourth Proportional to 2,828.82, 3,902.13 and 1,649.76

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Solution

The fourth proportional to 2,828.82, 3,902.13 and 1,649.76 is: 2,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.82 : 3,902.13 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    2,828.82/3,902.13 = 1,649.76/x
  3. Step 3: Cross multiply
    2,828.82x = 3,902.13 × 1,649.76
  4. Step 4: Simplify right side
    2,828.82x = 6,437,577.99
  5. Step 5: Solve for x
    x = 6,437,577.99/2,828.82
  6. Step 6: Final answer
    x = 2,275.71

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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.