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Finding the Fourth Proportional to 10,956, 16,442.96 and 7,675.68

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Solution

The fourth proportional to 10,956, 16,442.96 and 7,675.68 is: 11,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 16,442.96 = 7,675.68 : x
  2. Step 2: Convert to fraction form
    10,956/16,442.96 = 7,675.68/x
  3. Step 3: Cross multiply
    10,956x = 16,442.96 × 7,675.68
  4. Step 4: Simplify right side
    10,956x = 126,210,899.21
  5. Step 5: Solve for x
    x = 126,210,899.21/10,956
  6. Step 6: Final answer
    x = 11,519.80

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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.