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Finding the Fourth Proportional to 30,764, 46,153.68 and 8,876

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Solution

The fourth proportional to 30,764, 46,153.68 and 8,876 is: 13,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764 : 46,153.68 = 8,876 : x
  2. Step 2: Convert to fraction form
    30,764/46,153.68 = 8,876/x
  3. Step 3: Cross multiply
    30,764x = 46,153.68 × 8,876
  4. Step 4: Simplify right side
    30,764x = 409,660,063.68
  5. Step 5: Solve for x
    x = 409,660,063.68/30,764
  6. Step 6: Final answer
    x = 13,316.22

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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.