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Finding the Fourth Proportional to 30,864, 46,297.76 and 8,676.48

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Solution

The fourth proportional to 30,864, 46,297.76 and 8,676.48 is: 13,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 46,297.76 = 8,676.48 : x
  2. Step 2: Convert to fraction form
    30,864/46,297.76 = 8,676.48/x
  3. Step 3: Cross multiply
    30,864x = 46,297.76 × 8,676.48
  4. Step 4: Simplify right side
    30,864x = 401,701,588.68
  5. Step 5: Solve for x
    x = 401,701,588.68/30,864
  6. Step 6: Final answer
    x = 13,015.21

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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.