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Finding the Fourth Proportional to 12,917.34, 19,375.92 and 8,533.74

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Solution

The fourth proportional to 12,917.34, 19,375.92 and 8,533.74 is: 12,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.34 : 19,375.92 = 8,533.74 : x
  2. Step 2: Convert to fraction form
    12,917.34/19,375.92 = 8,533.74/x
  3. Step 3: Cross multiply
    12,917.34x = 19,375.92 × 8,533.74
  4. Step 4: Simplify right side
    12,917.34x = 165,349,063.54
  5. Step 5: Solve for x
    x = 165,349,063.54/12,917.34
  6. Step 6: Final answer
    x = 12,800.55

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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.