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Finding the Fourth Proportional to 3,768.68, 5,200.42 and 2,984.68

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Solution

The fourth proportional to 3,768.68, 5,200.42 and 2,984.68 is: 4,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.68 : 5,200.42 = 2,984.68 : x
  2. Step 2: Convert to fraction form
    3,768.68/5,200.42 = 2,984.68/x
  3. Step 3: Cross multiply
    3,768.68x = 5,200.42 × 2,984.68
  4. Step 4: Simplify right side
    3,768.68x = 15,521,589.57
  5. Step 5: Solve for x
    x = 15,521,589.57/3,768.68
  6. Step 6: Final answer
    x = 4,118.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.