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Finding the Fourth Proportional to 2,409.62, 3,614.72 and 828.65

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Solution

The fourth proportional to 2,409.62, 3,614.72 and 828.65 is: 1,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.62 : 3,614.72 = 828.65 : x
  2. Step 2: Convert to fraction form
    2,409.62/3,614.72 = 828.65/x
  3. Step 3: Cross multiply
    2,409.62x = 3,614.72 × 828.65
  4. Step 4: Simplify right side
    2,409.62x = 2,995,315.51
  5. Step 5: Solve for x
    x = 2,995,315.51/2,409.62
  6. Step 6: Final answer
    x = 1,243.07

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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.