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Finding the Fourth Proportional to 2,186.53, 3,277.82 and 798.89

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Solution

The fourth proportional to 2,186.53, 3,277.82 and 798.89 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.53 : 3,277.82 = 798.89 : x
  2. Step 2: Convert to fraction form
    2,186.53/3,277.82 = 798.89/x
  3. Step 3: Cross multiply
    2,186.53x = 3,277.82 × 798.89
  4. Step 4: Simplify right side
    2,186.53x = 2,618,597.24
  5. Step 5: Solve for x
    x = 2,618,597.24/2,186.53
  6. Step 6: Final answer
    x = 1,197.61

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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.