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Finding the Fourth Proportional to 11,157, 16,735.54 and 2,949

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Solution

The fourth proportional to 11,157, 16,735.54 and 2,949 is: 4,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157 : 16,735.54 = 2,949 : x
  2. Step 2: Convert to fraction form
    11,157/16,735.54 = 2,949/x
  3. Step 3: Cross multiply
    11,157x = 16,735.54 × 2,949
  4. Step 4: Simplify right side
    11,157x = 49,353,107.46
  5. Step 5: Solve for x
    x = 49,353,107.46/11,157
  6. Step 6: Final answer
    x = 4,423.51

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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.