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Finding the Fourth Proportional to 9,984, 13,777.92 and 5,568

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Solution

The fourth proportional to 9,984, 13,777.92 and 5,568 is: 7,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 13,777.92 = 5,568 : x
  2. Step 2: Convert to fraction form
    9,984/13,777.92 = 5,568/x
  3. Step 3: Cross multiply
    9,984x = 13,777.92 × 5,568
  4. Step 4: Simplify right side
    9,984x = 76,715,458.56
  5. Step 5: Solve for x
    x = 76,715,458.56/9,984
  6. Step 6: Final answer
    x = 7,683.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.