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Finding the Fourth Proportional to 17,806.96, 26,716 and 12,878.40

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Solution

The fourth proportional to 17,806.96, 26,716 and 12,878.40 is: 19,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.96 : 26,716 = 12,878.40 : x
  2. Step 2: Convert to fraction form
    17,806.96/26,716 = 12,878.40/x
  3. Step 3: Cross multiply
    17,806.96x = 26,716 × 12,878.40
  4. Step 4: Simplify right side
    17,806.96x = 344,059,334.40
  5. Step 5: Solve for x
    x = 344,059,334.40/17,806.96
  6. Step 6: Final answer
    x = 19,321.62

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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.