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Finding the Fourth Proportional to 30,786, 46,181.16 and 12,318

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Solution

The fourth proportional to 30,786, 46,181.16 and 12,318 is: 18,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786 : 46,181.16 = 12,318 : x
  2. Step 2: Convert to fraction form
    30,786/46,181.16 = 12,318/x
  3. Step 3: Cross multiply
    30,786x = 46,181.16 × 12,318
  4. Step 4: Simplify right side
    30,786x = 568,859,528.88
  5. Step 5: Solve for x
    x = 568,859,528.88/30,786
  6. Step 6: Final answer
    x = 18,477.86

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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.