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Finding the Fourth Proportional to 30,906.45, 46,363.30 and 9,839.12

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Solution

The fourth proportional to 30,906.45, 46,363.30 and 9,839.12 is: 14,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.45 : 46,363.30 = 9,839.12 : x
  2. Step 2: Convert to fraction form
    30,906.45/46,363.30 = 9,839.12/x
  3. Step 3: Cross multiply
    30,906.45x = 46,363.30 × 9,839.12
  4. Step 4: Simplify right side
    30,906.45x = 456,173,815.88
  5. Step 5: Solve for x
    x = 456,173,815.88/30,906.45
  6. Step 6: Final answer
    x = 14,759.83

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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.