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Finding the Fourth Proportional to 11,829.76, 17,744.64 and 6,639.28

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Solution

The fourth proportional to 11,829.76, 17,744.64 and 6,639.28 is: 9,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.76 : 17,744.64 = 6,639.28 : x
  2. Step 2: Convert to fraction form
    11,829.76/17,744.64 = 6,639.28/x
  3. Step 3: Cross multiply
    11,829.76x = 17,744.64 × 6,639.28
  4. Step 4: Simplify right side
    11,829.76x = 117,811,633.46
  5. Step 5: Solve for x
    x = 117,811,633.46/11,829.76
  6. Step 6: Final answer
    x = 9,958.92

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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.