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Finding the Fourth Proportional to 6,409.02, 8,841.24 and 3,756

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Solution

The fourth proportional to 6,409.02, 8,841.24 and 3,756 is: 5,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.02 : 8,841.24 = 3,756 : x
  2. Step 2: Convert to fraction form
    6,409.02/8,841.24 = 3,756/x
  3. Step 3: Cross multiply
    6,409.02x = 8,841.24 × 3,756
  4. Step 4: Simplify right side
    6,409.02x = 33,207,697.44
  5. Step 5: Solve for x
    x = 33,207,697.44/6,409.02
  6. Step 6: Final answer
    x = 5,181.40

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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.