Home / 3,817-5,724.69-3,090.70

Finding the Fourth Proportional to 3,817, 5,724.69 and 3,090.70

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Solution

The fourth proportional to 3,817, 5,724.69 and 3,090.70 is: 4,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817 : 5,724.69 = 3,090.70 : x
  2. Step 2: Convert to fraction form
    3,817/5,724.69 = 3,090.70/x
  3. Step 3: Cross multiply
    3,817x = 5,724.69 × 3,090.70
  4. Step 4: Simplify right side
    3,817x = 17,693,299.38
  5. Step 5: Solve for x
    x = 17,693,299.38/3,817
  6. Step 6: Final answer
    x = 4,635.39

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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.