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Finding the Fourth Proportional to 5,190.76, 7,785.86 and 1,680.70

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Solution

The fourth proportional to 5,190.76, 7,785.86 and 1,680.70 is: 2,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.76 : 7,785.86 = 1,680.70 : x
  2. Step 2: Convert to fraction form
    5,190.76/7,785.86 = 1,680.70/x
  3. Step 3: Cross multiply
    5,190.76x = 7,785.86 × 1,680.70
  4. Step 4: Simplify right side
    5,190.76x = 13,085,694.90
  5. Step 5: Solve for x
    x = 13,085,694.90/5,190.76
  6. Step 6: Final answer
    x = 2,520.96

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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.