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Finding the Fourth Proportional to 2,992.40, 4,469.02 and 2,505.86

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Solution

The fourth proportional to 2,992.40, 4,469.02 and 2,505.86 is: 3,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.40 : 4,469.02 = 2,505.86 : x
  2. Step 2: Convert to fraction form
    2,992.40/4,469.02 = 2,505.86/x
  3. Step 3: Cross multiply
    2,992.40x = 4,469.02 × 2,505.86
  4. Step 4: Simplify right side
    2,992.40x = 11,198,738.46
  5. Step 5: Solve for x
    x = 11,198,738.46/2,992.40
  6. Step 6: Final answer
    x = 3,742.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.