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Finding the Fourth Proportional to 17,919.12, 26,881.44 and 9,149.28

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Solution

The fourth proportional to 17,919.12, 26,881.44 and 9,149.28 is: 13,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.12 : 26,881.44 = 9,149.28 : x
  2. Step 2: Convert to fraction form
    17,919.12/26,881.44 = 9,149.28/x
  3. Step 3: Cross multiply
    17,919.12x = 26,881.44 × 9,149.28
  4. Step 4: Simplify right side
    17,919.12x = 245,945,821.36
  5. Step 5: Solve for x
    x = 245,945,821.36/17,919.12
  6. Step 6: Final answer
    x = 13,725.33

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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.