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Finding the Fourth Proportional to 30,850, 46,277.16 and 12,382

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Solution

The fourth proportional to 30,850, 46,277.16 and 12,382 is: 18,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850 : 46,277.16 = 12,382 : x
  2. Step 2: Convert to fraction form
    30,850/46,277.16 = 12,382/x
  3. Step 3: Cross multiply
    30,850x = 46,277.16 × 12,382
  4. Step 4: Simplify right side
    30,850x = 573,003,795.12
  5. Step 5: Solve for x
    x = 573,003,795.12/30,850
  6. Step 6: Final answer
    x = 18,573.87

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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.