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Finding the Fourth Proportional to 12,185, 18,277.60 and 3,864.84

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Solution

The fourth proportional to 12,185, 18,277.60 and 3,864.84 is: 5,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 18,277.60 = 3,864.84 : x
  2. Step 2: Convert to fraction form
    12,185/18,277.60 = 3,864.84/x
  3. Step 3: Cross multiply
    12,185x = 18,277.60 × 3,864.84
  4. Step 4: Simplify right side
    12,185x = 70,639,999.58
  5. Step 5: Solve for x
    x = 70,639,999.58/12,185
  6. Step 6: Final answer
    x = 5,797.29

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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.