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Finding the Fourth Proportional to 30,809.88, 46,185.60 and 12,101.88

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Solution

The fourth proportional to 30,809.88, 46,185.60 and 12,101.88 is: 18,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.88 : 46,185.60 = 12,101.88 : x
  2. Step 2: Convert to fraction form
    30,809.88/46,185.60 = 12,101.88/x
  3. Step 3: Cross multiply
    30,809.88x = 46,185.60 × 12,101.88
  4. Step 4: Simplify right side
    30,809.88x = 558,932,588.93
  5. Step 5: Solve for x
    x = 558,932,588.93/30,809.88
  6. Step 6: Final answer
    x = 18,141.34

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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.