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Finding the Fourth Proportional to 10,960, 16,448.96 and 7,679.68

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Solution

The fourth proportional to 10,960, 16,448.96 and 7,679.68 is: 11,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960 : 16,448.96 = 7,679.68 : x
  2. Step 2: Convert to fraction form
    10,960/16,448.96 = 7,679.68/x
  3. Step 3: Cross multiply
    10,960x = 16,448.96 × 7,679.68
  4. Step 4: Simplify right side
    10,960x = 126,322,749.13
  5. Step 5: Solve for x
    x = 126,322,749.13/10,960
  6. Step 6: Final answer
    x = 11,525.80

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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.