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Finding the Fourth Proportional to 3,924.64, 5,420.80 and 2,934.32

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Solution

The fourth proportional to 3,924.64, 5,420.80 and 2,934.32 is: 4,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.64 : 5,420.80 = 2,934.32 : x
  2. Step 2: Convert to fraction form
    3,924.64/5,420.80 = 2,934.32/x
  3. Step 3: Cross multiply
    3,924.64x = 5,420.80 × 2,934.32
  4. Step 4: Simplify right side
    3,924.64x = 15,906,361.86
  5. Step 5: Solve for x
    x = 15,906,361.86/3,924.64
  6. Step 6: Final answer
    x = 4,052.95

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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.