Home / 2,456.14-3,683.49-812.56

Finding the Fourth Proportional to 2,456.14, 3,683.49 and 812.56

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Solution

The fourth proportional to 2,456.14, 3,683.49 and 812.56 is: 1,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.14 : 3,683.49 = 812.56 : x
  2. Step 2: Convert to fraction form
    2,456.14/3,683.49 = 812.56/x
  3. Step 3: Cross multiply
    2,456.14x = 3,683.49 × 812.56
  4. Step 4: Simplify right side
    2,456.14x = 2,993,056.63
  5. Step 5: Solve for x
    x = 2,993,056.63/2,456.14
  6. Step 6: Final answer
    x = 1,218.60

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1.5x scale

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.