Home / 2,409.61-3,614.83-828.26

Finding the Fourth Proportional to 2,409.61, 3,614.83 and 828.26

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Solution

The fourth proportional to 2,409.61, 3,614.83 and 828.26 is: 1,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.61 : 3,614.83 = 828.26 : x
  2. Step 2: Convert to fraction form
    2,409.61/3,614.83 = 828.26/x
  3. Step 3: Cross multiply
    2,409.61x = 3,614.83 × 828.26
  4. Step 4: Simplify right side
    2,409.61x = 2,994,004.67
  5. Step 5: Solve for x
    x = 2,994,004.67/2,409.61
  6. Step 6: Final answer
    x = 1,242.53

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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.