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Finding the Fourth Proportional to 11,978.31, 16,529.36 and 6,942.14

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Solution

The fourth proportional to 11,978.31, 16,529.36 and 6,942.14 is: 9,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.31 : 16,529.36 = 6,942.14 : x
  2. Step 2: Convert to fraction form
    11,978.31/16,529.36 = 6,942.14/x
  3. Step 3: Cross multiply
    11,978.31x = 16,529.36 × 6,942.14
  4. Step 4: Simplify right side
    11,978.31x = 114,749,013.87
  5. Step 5: Solve for x
    x = 114,749,013.87/11,978.31
  6. Step 6: Final answer
    x = 9,579.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.