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Finding the Fourth Proportional to 17,876, 26,815.44 and 5,564

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Solution

The fourth proportional to 17,876, 26,815.44 and 5,564 is: 8,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876 : 26,815.44 = 5,564 : x
  2. Step 2: Convert to fraction form
    17,876/26,815.44 = 5,564/x
  3. Step 3: Cross multiply
    17,876x = 26,815.44 × 5,564
  4. Step 4: Simplify right side
    17,876x = 149,201,108.16
  5. Step 5: Solve for x
    x = 149,201,108.16/17,876
  6. Step 6: Final answer
    x = 8,346.45

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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.