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Finding the Fourth Proportional to 3,909.32, 5,393.32 and 2,414.64

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Solution

The fourth proportional to 3,909.32, 5,393.32 and 2,414.64 is: 3,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.32 : 5,393.32 = 2,414.64 : x
  2. Step 2: Convert to fraction form
    3,909.32/5,393.32 = 2,414.64/x
  3. Step 3: Cross multiply
    3,909.32x = 5,393.32 × 2,414.64
  4. Step 4: Simplify right side
    3,909.32x = 13,022,926.20
  5. Step 5: Solve for x
    x = 13,022,926.20/3,909.32
  6. Step 6: Final answer
    x = 3,331.25

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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.