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Finding the Fourth Proportional to 19,539, 26,957.34 and 12,467.70

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Solution

The fourth proportional to 19,539, 26,957.34 and 12,467.70 is: 17,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 26,957.34 = 12,467.70 : x
  2. Step 2: Convert to fraction form
    19,539/26,957.34 = 12,467.70/x
  3. Step 3: Cross multiply
    19,539x = 26,957.34 × 12,467.70
  4. Step 4: Simplify right side
    19,539x = 336,096,027.92
  5. Step 5: Solve for x
    x = 336,096,027.92/19,539
  6. Step 6: Final answer
    x = 17,201.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.