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Finding the Fourth Proportional to 7,198.66, 10,780.98 and 5,627.67

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Solution

The fourth proportional to 7,198.66, 10,780.98 and 5,627.67 is: 8,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.66 : 10,780.98 = 5,627.67 : x
  2. Step 2: Convert to fraction form
    7,198.66/10,780.98 = 5,627.67/x
  3. Step 3: Cross multiply
    7,198.66x = 10,780.98 × 5,627.67
  4. Step 4: Simplify right side
    7,198.66x = 60,671,797.72
  5. Step 5: Solve for x
    x = 60,671,797.72/7,198.66
  6. Step 6: Final answer
    x = 8,428.21

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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.