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Finding the Fourth Proportional to 18,658, 27,996.72 and 8,267.32

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Solution

The fourth proportional to 18,658, 27,996.72 and 8,267.32 is: 12,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658 : 27,996.72 = 8,267.32 : x
  2. Step 2: Convert to fraction form
    18,658/27,996.72 = 8,267.32/x
  3. Step 3: Cross multiply
    18,658x = 27,996.72 × 8,267.32
  4. Step 4: Simplify right side
    18,658x = 231,457,843.19
  5. Step 5: Solve for x
    x = 231,457,843.19/18,658
  6. Step 6: Final answer
    x = 12,405.29

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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.