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Finding the Fourth Proportional to 17,705.78, 26,562.67 and 9,919.54

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Solution

The fourth proportional to 17,705.78, 26,562.67 and 9,919.54 is: 14,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.78 : 26,562.67 = 9,919.54 : x
  2. Step 2: Convert to fraction form
    17,705.78/26,562.67 = 9,919.54/x
  3. Step 3: Cross multiply
    17,705.78x = 26,562.67 × 9,919.54
  4. Step 4: Simplify right side
    17,705.78x = 263,489,467.57
  5. Step 5: Solve for x
    x = 263,489,467.57/17,705.78
  6. Step 6: Final answer
    x = 14,881.55

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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.