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Finding the Fourth Proportional to 5,245.70, 7,867.71 and 3,409.83

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Solution

The fourth proportional to 5,245.70, 7,867.71 and 3,409.83 is: 5,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.70 : 7,867.71 = 3,409.83 : x
  2. Step 2: Convert to fraction form
    5,245.70/7,867.71 = 3,409.83/x
  3. Step 3: Cross multiply
    5,245.70x = 7,867.71 × 3,409.83
  4. Step 4: Simplify right side
    5,245.70x = 26,827,553.59
  5. Step 5: Solve for x
    x = 26,827,553.59/5,245.70
  6. Step 6: Final answer
    x = 5,114.20

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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.