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Finding the Fourth Proportional to 18,640, 27,960 and 12,778.84

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Solution

The fourth proportional to 18,640, 27,960 and 12,778.84 is: 19,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 27,960 = 12,778.84 : x
  2. Step 2: Convert to fraction form
    18,640/27,960 = 12,778.84/x
  3. Step 3: Cross multiply
    18,640x = 27,960 × 12,778.84
  4. Step 4: Simplify right side
    18,640x = 357,296,366.40
  5. Step 5: Solve for x
    x = 357,296,366.40/18,640
  6. Step 6: Final answer
    x = 19,168.26

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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.