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Finding the Fourth Proportional to 30,634.88, 45,944.72 and 8,447.28

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Solution

The fourth proportional to 30,634.88, 45,944.72 and 8,447.28 is: 12,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.88 : 45,944.72 = 8,447.28 : x
  2. Step 2: Convert to fraction form
    30,634.88/45,944.72 = 8,447.28/x
  3. Step 3: Cross multiply
    30,634.88x = 45,944.72 × 8,447.28
  4. Step 4: Simplify right side
    30,634.88x = 388,107,914.36
  5. Step 5: Solve for x
    x = 388,107,914.36/30,634.88
  6. Step 6: Final answer
    x = 12,668.82

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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.