Home / 2,114.38-3,171.58-653.54

Finding the Fourth Proportional to 2,114.38, 3,171.58 and 653.54

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Solution

The fourth proportional to 2,114.38, 3,171.58 and 653.54 is: 980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.38 : 3,171.58 = 653.54 : x
  2. Step 2: Convert to fraction form
    2,114.38/3,171.58 = 653.54/x
  3. Step 3: Cross multiply
    2,114.38x = 3,171.58 × 653.54
  4. Step 4: Simplify right side
    2,114.38x = 2,072,743.36
  5. Step 5: Solve for x
    x = 2,072,743.36/2,114.38
  6. Step 6: Final answer
    x = 980.31

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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.