Home / 2,544.12-3,816.54-812.34

Finding the Fourth Proportional to 2,544.12, 3,816.54 and 812.34

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Solution

The fourth proportional to 2,544.12, 3,816.54 and 812.34 is: 1,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.12 : 3,816.54 = 812.34 : x
  2. Step 2: Convert to fraction form
    2,544.12/3,816.54 = 812.34/x
  3. Step 3: Cross multiply
    2,544.12x = 3,816.54 × 812.34
  4. Step 4: Simplify right side
    2,544.12x = 3,100,328.10
  5. Step 5: Solve for x
    x = 3,100,328.10/2,544.12
  6. Step 6: Final answer
    x = 1,218.62

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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.