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Finding the Fourth Proportional to 30,540.42, 45,805.86 and 11,829.15

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Solution

The fourth proportional to 30,540.42, 45,805.86 and 11,829.15 is: 17,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.42 : 45,805.86 = 11,829.15 : x
  2. Step 2: Convert to fraction form
    30,540.42/45,805.86 = 11,829.15/x
  3. Step 3: Cross multiply
    30,540.42x = 45,805.86 × 11,829.15
  4. Step 4: Simplify right side
    30,540.42x = 541,844,388.82
  5. Step 5: Solve for x
    x = 541,844,388.82/30,540.42
  6. Step 6: Final answer
    x = 17,741.88

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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.