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Finding the Fourth Proportional to 3,642.36, 5,465.36 and 1,694.31

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Solution

The fourth proportional to 3,642.36, 5,465.36 and 1,694.31 is: 2,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.36 : 5,465.36 = 1,694.31 : x
  2. Step 2: Convert to fraction form
    3,642.36/5,465.36 = 1,694.31/x
  3. Step 3: Cross multiply
    3,642.36x = 5,465.36 × 1,694.31
  4. Step 4: Simplify right side
    3,642.36x = 9,260,014.10
  5. Step 5: Solve for x
    x = 9,260,014.10/3,642.36
  6. Step 6: Final answer
    x = 2,542.31

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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.