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Finding the Fourth Proportional to 8,676.39, 11,980.32 and 8,013

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Solution

The fourth proportional to 8,676.39, 11,980.32 and 8,013 is: 11,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.39 : 11,980.32 = 8,013 : x
  2. Step 2: Convert to fraction form
    8,676.39/11,980.32 = 8,013/x
  3. Step 3: Cross multiply
    8,676.39x = 11,980.32 × 8,013
  4. Step 4: Simplify right side
    8,676.39x = 95,998,304.16
  5. Step 5: Solve for x
    x = 95,998,304.16/8,676.39
  6. Step 6: Final answer
    x = 11,064.31

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1.5x scale

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.