Home / 3,097.22-4,646.76-905.96

Finding the Fourth Proportional to 3,097.22, 4,646.76 and 905.96

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Solution

The fourth proportional to 3,097.22, 4,646.76 and 905.96 is: 1,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.22 : 4,646.76 = 905.96 : x
  2. Step 2: Convert to fraction form
    3,097.22/4,646.76 = 905.96/x
  3. Step 3: Cross multiply
    3,097.22x = 4,646.76 × 905.96
  4. Step 4: Simplify right side
    3,097.22x = 4,209,778.69
  5. Step 5: Solve for x
    x = 4,209,778.69/3,097.22
  6. Step 6: Final answer
    x = 1,359.21

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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.