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Finding the Fourth Proportional to 5,661.27, 7,814.21 and 3,775.59

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Solution

The fourth proportional to 5,661.27, 7,814.21 and 3,775.59 is: 5,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.27 : 7,814.21 = 3,775.59 : x
  2. Step 2: Convert to fraction form
    5,661.27/7,814.21 = 3,775.59/x
  3. Step 3: Cross multiply
    5,661.27x = 7,814.21 × 3,775.59
  4. Step 4: Simplify right side
    5,661.27x = 29,503,234.26
  5. Step 5: Solve for x
    x = 29,503,234.26/5,661.27
  6. Step 6: Final answer
    x = 5,211.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.