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Finding the Fourth Proportional to 5,209.77, 7,811.61 and 2,284.86

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Solution

The fourth proportional to 5,209.77, 7,811.61 and 2,284.86 is: 3,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.77 : 7,811.61 = 2,284.86 : x
  2. Step 2: Convert to fraction form
    5,209.77/7,811.61 = 2,284.86/x
  3. Step 3: Cross multiply
    5,209.77x = 7,811.61 × 2,284.86
  4. Step 4: Simplify right side
    5,209.77x = 17,848,435.22
  5. Step 5: Solve for x
    x = 17,848,435.22/5,209.77
  6. Step 6: Final answer
    x = 3,425.95

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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.