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Finding the Fourth Proportional to 3,419.44, 5,124.72 and 2,978.80

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Solution

The fourth proportional to 3,419.44, 5,124.72 and 2,978.80 is: 4,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.44 : 5,124.72 = 2,978.80 : x
  2. Step 2: Convert to fraction form
    3,419.44/5,124.72 = 2,978.80/x
  3. Step 3: Cross multiply
    3,419.44x = 5,124.72 × 2,978.80
  4. Step 4: Simplify right side
    3,419.44x = 15,265,515.94
  5. Step 5: Solve for x
    x = 15,265,515.94/3,419.44
  6. Step 6: Final answer
    x = 4,464.33

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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.