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Finding the Fourth Proportional to 12,367, 18,551.58 and 3,133

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Solution

The fourth proportional to 12,367, 18,551.58 and 3,133 is: 4,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367 : 18,551.58 = 3,133 : x
  2. Step 2: Convert to fraction form
    12,367/18,551.58 = 3,133/x
  3. Step 3: Cross multiply
    12,367x = 18,551.58 × 3,133
  4. Step 4: Simplify right side
    12,367x = 58,122,100.14
  5. Step 5: Solve for x
    x = 58,122,100.14/12,367
  6. Step 6: Final answer
    x = 4,699.77

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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.