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Finding the Fourth Proportional to 12,393, 18,592.44 and 4,185

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Solution

The fourth proportional to 12,393, 18,592.44 and 4,185 is: 6,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 18,592.44 = 4,185 : x
  2. Step 2: Convert to fraction form
    12,393/18,592.44 = 4,185/x
  3. Step 3: Cross multiply
    12,393x = 18,592.44 × 4,185
  4. Step 4: Simplify right side
    12,393x = 77,809,361.40
  5. Step 5: Solve for x
    x = 77,809,361.40/12,393
  6. Step 6: Final answer
    x = 6,278.49

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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.