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Finding the Fourth Proportional to 3,668.96, 5,505.60 and 1,362.08

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Solution

The fourth proportional to 3,668.96, 5,505.60 and 1,362.08 is: 2,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.96 : 5,505.60 = 1,362.08 : x
  2. Step 2: Convert to fraction form
    3,668.96/5,505.60 = 1,362.08/x
  3. Step 3: Cross multiply
    3,668.96x = 5,505.60 × 1,362.08
  4. Step 4: Simplify right side
    3,668.96x = 7,499,067.65
  5. Step 5: Solve for x
    x = 7,499,067.65/3,668.96
  6. Step 6: Final answer
    x = 2,043.92

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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.