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Finding the Fourth Proportional to 17,868, 26,808 and 7,999.68

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Solution

The fourth proportional to 17,868, 26,808 and 7,999.68 is: 12,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868 : 26,808 = 7,999.68 : x
  2. Step 2: Convert to fraction form
    17,868/26,808 = 7,999.68/x
  3. Step 3: Cross multiply
    17,868x = 26,808 × 7,999.68
  4. Step 4: Simplify right side
    17,868x = 214,455,421.44
  5. Step 5: Solve for x
    x = 214,455,421.44/17,868
  6. Step 6: Final answer
    x = 12,002.21

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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.