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Finding the Fourth Proportional to 17,680.34, 26,520.51 and 8,314.54

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Solution

The fourth proportional to 17,680.34, 26,520.51 and 8,314.54 is: 12,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.34 : 26,520.51 = 8,314.54 : x
  2. Step 2: Convert to fraction form
    17,680.34/26,520.51 = 8,314.54/x
  3. Step 3: Cross multiply
    17,680.34x = 26,520.51 × 8,314.54
  4. Step 4: Simplify right side
    17,680.34x = 220,505,841.22
  5. Step 5: Solve for x
    x = 220,505,841.22/17,680.34
  6. Step 6: Final answer
    x = 12,471.81

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1.5x scale

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.