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Finding the Fourth Proportional to 3,618.99, 5,419.97 and 1,764.29

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Solution

The fourth proportional to 3,618.99, 5,419.97 and 1,764.29 is: 2,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.99 : 5,419.97 = 1,764.29 : x
  2. Step 2: Convert to fraction form
    3,618.99/5,419.97 = 1,764.29/x
  3. Step 3: Cross multiply
    3,618.99x = 5,419.97 × 1,764.29
  4. Step 4: Simplify right side
    3,618.99x = 9,562,396.51
  5. Step 5: Solve for x
    x = 9,562,396.51/3,618.99
  6. Step 6: Final answer
    x = 2,642.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.