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Finding the Fourth Proportional to 17,865.75, 26,780.81 and 8,953.83

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Solution

The fourth proportional to 17,865.75, 26,780.81 and 8,953.83 is: 13,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.75 : 26,780.81 = 8,953.83 : x
  2. Step 2: Convert to fraction form
    17,865.75/26,780.81 = 8,953.83/x
  3. Step 3: Cross multiply
    17,865.75x = 26,780.81 × 8,953.83
  4. Step 4: Simplify right side
    17,865.75x = 239,790,820.00
  5. Step 5: Solve for x
    x = 239,790,820.00/17,865.75
  6. Step 6: Final answer
    x = 13,421.82

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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.