Home / 3,097.06-4,646.38-905.80

Finding the Fourth Proportional to 3,097.06, 4,646.38 and 905.80

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Solution

The fourth proportional to 3,097.06, 4,646.38 and 905.80 is: 1,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.06 : 4,646.38 = 905.80 : x
  2. Step 2: Convert to fraction form
    3,097.06/4,646.38 = 905.80/x
  3. Step 3: Cross multiply
    3,097.06x = 4,646.38 × 905.80
  4. Step 4: Simplify right side
    3,097.06x = 4,208,691.00
  5. Step 5: Solve for x
    x = 4,208,691.00/3,097.06
  6. Step 6: Final answer
    x = 1,358.93

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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.