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Finding the Fourth Proportional to 2,074.43, 3,112.05 and 613.53

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Solution

The fourth proportional to 2,074.43, 3,112.05 and 613.53 is: 920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.43 : 3,112.05 = 613.53 : x
  2. Step 2: Convert to fraction form
    2,074.43/3,112.05 = 613.53/x
  3. Step 3: Cross multiply
    2,074.43x = 3,112.05 × 613.53
  4. Step 4: Simplify right side
    2,074.43x = 1,909,336.04
  5. Step 5: Solve for x
    x = 1,909,336.04/2,074.43
  6. Step 6: Final answer
    x = 920.42

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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.