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Finding the Fourth Proportional to 3,642.70, 5,464.04 and 1,694.64

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Solution

The fourth proportional to 3,642.70, 5,464.04 and 1,694.64 is: 2,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.70 : 5,464.04 = 1,694.64 : x
  2. Step 2: Convert to fraction form
    3,642.70/5,464.04 = 1,694.64/x
  3. Step 3: Cross multiply
    3,642.70x = 5,464.04 × 1,694.64
  4. Step 4: Simplify right side
    3,642.70x = 9,259,580.75
  5. Step 5: Solve for x
    x = 9,259,580.75/3,642.70
  6. Step 6: Final answer
    x = 2,541.96

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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.