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Finding the Fourth Proportional to 11,989.28, 17,985.84 and 5,063.84

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Solution

The fourth proportional to 11,989.28, 17,985.84 and 5,063.84 is: 7,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.28 : 17,985.84 = 5,063.84 : x
  2. Step 2: Convert to fraction form
    11,989.28/17,985.84 = 5,063.84/x
  3. Step 3: Cross multiply
    11,989.28x = 17,985.84 × 5,063.84
  4. Step 4: Simplify right side
    11,989.28x = 91,077,416.03
  5. Step 5: Solve for x
    x = 91,077,416.03/11,989.28
  6. Step 6: Final answer
    x = 7,596.57

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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.