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Finding the Fourth Proportional to 3,782.87, 5,674.57 and 1,009.53

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Solution

The fourth proportional to 3,782.87, 5,674.57 and 1,009.53 is: 1,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.87 : 5,674.57 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    3,782.87/5,674.57 = 1,009.53/x
  3. Step 3: Cross multiply
    3,782.87x = 5,674.57 × 1,009.53
  4. Step 4: Simplify right side
    3,782.87x = 5,728,648.65
  5. Step 5: Solve for x
    x = 5,728,648.65/3,782.87
  6. Step 6: Final answer
    x = 1,514.37

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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.