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Finding the Fourth Proportional to 9,909, 13,676.94 and 5,719.68

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Solution

The fourth proportional to 9,909, 13,676.94 and 5,719.68 is: 7,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909 : 13,676.94 = 5,719.68 : x
  2. Step 2: Convert to fraction form
    9,909/13,676.94 = 5,719.68/x
  3. Step 3: Cross multiply
    9,909x = 13,676.94 × 5,719.68
  4. Step 4: Simplify right side
    9,909x = 78,227,720.18
  5. Step 5: Solve for x
    x = 78,227,720.18/9,909
  6. Step 6: Final answer
    x = 7,894.61

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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.