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Finding the Fourth Proportional to 5,378.64, 7,418.41 and 3,891.48

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Solution

The fourth proportional to 5,378.64, 7,418.41 and 3,891.48 is: 5,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.64 : 7,418.41 = 3,891.48 : x
  2. Step 2: Convert to fraction form
    5,378.64/7,418.41 = 3,891.48/x
  3. Step 3: Cross multiply
    5,378.64x = 7,418.41 × 3,891.48
  4. Step 4: Simplify right side
    5,378.64x = 28,868,594.15
  5. Step 5: Solve for x
    x = 28,868,594.15/5,378.64
  6. Step 6: Final answer
    x = 5,367.27

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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.