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Finding the Fourth Proportional to 11,251.28, 16,873.32 and 7,778

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Solution

The fourth proportional to 11,251.28, 16,873.32 and 7,778 is: 11,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.28 : 16,873.32 = 7,778 : x
  2. Step 2: Convert to fraction form
    11,251.28/16,873.32 = 7,778/x
  3. Step 3: Cross multiply
    11,251.28x = 16,873.32 × 7,778
  4. Step 4: Simplify right side
    11,251.28x = 131,240,682.96
  5. Step 5: Solve for x
    x = 131,240,682.96/11,251.28
  6. Step 6: Final answer
    x = 11,664.51

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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.