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Finding the Fourth Proportional to 11,331.60, 16,978.22 and 6,939.88

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Solution

The fourth proportional to 11,331.60, 16,978.22 and 6,939.88 is: 10,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.60 : 16,978.22 = 6,939.88 : x
  2. Step 2: Convert to fraction form
    11,331.60/16,978.22 = 6,939.88/x
  3. Step 3: Cross multiply
    11,331.60x = 16,978.22 × 6,939.88
  4. Step 4: Simplify right side
    11,331.60x = 117,826,774.71
  5. Step 5: Solve for x
    x = 117,826,774.71/11,331.60
  6. Step 6: Final answer
    x = 10,398.08

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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.