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Finding the Fourth Proportional to 10,876.50, 16,314.69 and 3,085.32

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Solution

The fourth proportional to 10,876.50, 16,314.69 and 3,085.32 is: 4,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.50 : 16,314.69 = 3,085.32 : x
  2. Step 2: Convert to fraction form
    10,876.50/16,314.69 = 3,085.32/x
  3. Step 3: Cross multiply
    10,876.50x = 16,314.69 × 3,085.32
  4. Step 4: Simplify right side
    10,876.50x = 50,336,039.35
  5. Step 5: Solve for x
    x = 50,336,039.35/10,876.50
  6. Step 6: Final answer
    x = 4,627.96

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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.