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Finding the Fourth Proportional to 6,163.06, 9,245.06 and 1,780.55

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Solution

The fourth proportional to 6,163.06, 9,245.06 and 1,780.55 is: 2,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.06 : 9,245.06 = 1,780.55 : x
  2. Step 2: Convert to fraction form
    6,163.06/9,245.06 = 1,780.55/x
  3. Step 3: Cross multiply
    6,163.06x = 9,245.06 × 1,780.55
  4. Step 4: Simplify right side
    6,163.06x = 16,461,282.68
  5. Step 5: Solve for x
    x = 16,461,282.68/6,163.06
  6. Step 6: Final answer
    x = 2,670.96

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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.