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Finding the Fourth Proportional to 30,630.22, 45,933.42 and 11,907.78

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Solution

The fourth proportional to 30,630.22, 45,933.42 and 11,907.78 is: 17,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630.22 : 45,933.42 = 11,907.78 : x
  2. Step 2: Convert to fraction form
    30,630.22/45,933.42 = 11,907.78/x
  3. Step 3: Cross multiply
    30,630.22x = 45,933.42 × 11,907.78
  4. Step 4: Simplify right side
    30,630.22x = 546,964,932.41
  5. Step 5: Solve for x
    x = 546,964,932.41/30,630.22
  6. Step 6: Final answer
    x = 17,857.04

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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.