Home / 5,206.96-7,811.34-2,285.56

Finding the Fourth Proportional to 5,206.96, 7,811.34 and 2,285.56

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Solution

The fourth proportional to 5,206.96, 7,811.34 and 2,285.56 is: 3,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.96 : 7,811.34 = 2,285.56 : x
  2. Step 2: Convert to fraction form
    5,206.96/7,811.34 = 2,285.56/x
  3. Step 3: Cross multiply
    5,206.96x = 7,811.34 × 2,285.56
  4. Step 4: Simplify right side
    5,206.96x = 17,853,286.25
  5. Step 5: Solve for x
    x = 17,853,286.25/5,206.96
  6. Step 6: Final answer
    x = 3,428.74

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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.