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Finding the Fourth Proportional to 6,663.84, 9,996 and 3,367.68

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Solution

The fourth proportional to 6,663.84, 9,996 and 3,367.68 is: 5,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.84 : 9,996 = 3,367.68 : x
  2. Step 2: Convert to fraction form
    6,663.84/9,996 = 3,367.68/x
  3. Step 3: Cross multiply
    6,663.84x = 9,996 × 3,367.68
  4. Step 4: Simplify right side
    6,663.84x = 33,663,329.28
  5. Step 5: Solve for x
    x = 33,663,329.28/6,663.84
  6. Step 6: Final answer
    x = 5,051.64

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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.