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Finding the Fourth Proportional to 9,434, 14,157.48 and 3,278

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Solution

The fourth proportional to 9,434, 14,157.48 and 3,278 is: 4,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434 : 14,157.48 = 3,278 : x
  2. Step 2: Convert to fraction form
    9,434/14,157.48 = 3,278/x
  3. Step 3: Cross multiply
    9,434x = 14,157.48 × 3,278
  4. Step 4: Simplify right side
    9,434x = 46,408,219.44
  5. Step 5: Solve for x
    x = 46,408,219.44/9,434
  6. Step 6: Final answer
    x = 4,919.25

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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.