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Finding the Fourth Proportional to 2,456.60, 3,683.42 and 812.68

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Solution

The fourth proportional to 2,456.60, 3,683.42 and 812.68 is: 1,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.60 : 3,683.42 = 812.68 : x
  2. Step 2: Convert to fraction form
    2,456.60/3,683.42 = 812.68/x
  3. Step 3: Cross multiply
    2,456.60x = 3,683.42 × 812.68
  4. Step 4: Simplify right side
    2,456.60x = 2,993,441.77
  5. Step 5: Solve for x
    x = 2,993,441.77/2,456.60
  6. Step 6: Final answer
    x = 1,218.53

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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.