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Finding the Fourth Proportional to 15,000.08, 20,699.92 and 8,286

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Solution

The fourth proportional to 15,000.08, 20,699.92 and 8,286 is: 11,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000.08 : 20,699.92 = 8,286 : x
  2. Step 2: Convert to fraction form
    15,000.08/20,699.92 = 8,286/x
  3. Step 3: Cross multiply
    15,000.08x = 20,699.92 × 8,286
  4. Step 4: Simplify right side
    15,000.08x = 171,519,537.12
  5. Step 5: Solve for x
    x = 171,519,537.12/15,000.08
  6. Step 6: Final answer
    x = 11,434.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.