Home / 2,099.49-3,141.81-1,542.90

Finding the Fourth Proportional to 2,099.49, 3,141.81 and 1,542.90

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Solution

The fourth proportional to 2,099.49, 3,141.81 and 1,542.90 is: 2,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.49 : 3,141.81 = 1,542.90 : x
  2. Step 2: Convert to fraction form
    2,099.49/3,141.81 = 1,542.90/x
  3. Step 3: Cross multiply
    2,099.49x = 3,141.81 × 1,542.90
  4. Step 4: Simplify right side
    2,099.49x = 4,847,497.10
  5. Step 5: Solve for x
    x = 4,847,497.10/2,099.49
  6. Step 6: Final answer
    x = 2,308.89

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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.