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Finding the Fourth Proportional to 30,857, 46,287.66 and 12,389

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Solution

The fourth proportional to 30,857, 46,287.66 and 12,389 is: 18,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857 : 46,287.66 = 12,389 : x
  2. Step 2: Convert to fraction form
    30,857/46,287.66 = 12,389/x
  3. Step 3: Cross multiply
    30,857x = 46,287.66 × 12,389
  4. Step 4: Simplify right side
    30,857x = 573,457,819.74
  5. Step 5: Solve for x
    x = 573,457,819.74/30,857
  6. Step 6: Final answer
    x = 18,584.37

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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.