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Finding the Fourth Proportional to 10,447.10, 15,676.03 and 6,939.53

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Solution

The fourth proportional to 10,447.10, 15,676.03 and 6,939.53 is: 10,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.10 : 15,676.03 = 6,939.53 : x
  2. Step 2: Convert to fraction form
    10,447.10/15,676.03 = 6,939.53/x
  3. Step 3: Cross multiply
    10,447.10x = 15,676.03 × 6,939.53
  4. Step 4: Simplify right side
    10,447.10x = 108,784,202.09
  5. Step 5: Solve for x
    x = 108,784,202.09/10,447.10
  6. Step 6: Final answer
    x = 10,412.87

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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.