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Finding the Fourth Proportional to 2,456, 3,683.10 and 812.08

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Solution

The fourth proportional to 2,456, 3,683.10 and 812.08 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456 : 3,683.10 = 812.08 : x
  2. Step 2: Convert to fraction form
    2,456/3,683.10 = 812.08/x
  3. Step 3: Cross multiply
    2,456x = 3,683.10 × 812.08
  4. Step 4: Simplify right side
    2,456x = 2,990,971.85
  5. Step 5: Solve for x
    x = 2,990,971.85/2,456
  6. Step 6: Final answer
    x = 1,217.82

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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.