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Finding the Fourth Proportional to 2,114.54, 3,171.96 and 653.68

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Solution

The fourth proportional to 2,114.54, 3,171.96 and 653.68 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.54 : 3,171.96 = 653.68 : x
  2. Step 2: Convert to fraction form
    2,114.54/3,171.96 = 653.68/x
  3. Step 3: Cross multiply
    2,114.54x = 3,171.96 × 653.68
  4. Step 4: Simplify right side
    2,114.54x = 2,073,438.88
  5. Step 5: Solve for x
    x = 2,073,438.88/2,114.54
  6. Step 6: Final answer
    x = 980.56

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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.