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Finding the Fourth Proportional to 7,988.64, 11,983 and 3,827.68

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Solution

The fourth proportional to 7,988.64, 11,983 and 3,827.68 is: 5,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.64 : 11,983 = 3,827.68 : x
  2. Step 2: Convert to fraction form
    7,988.64/11,983 = 3,827.68/x
  3. Step 3: Cross multiply
    7,988.64x = 11,983 × 3,827.68
  4. Step 4: Simplify right side
    7,988.64x = 45,867,089.44
  5. Step 5: Solve for x
    x = 45,867,089.44/7,988.64
  6. Step 6: Final answer
    x = 5,741.54

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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.