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Finding the Fourth Proportional to 10,804.90, 14,896.32 and 8,104.64

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Solution

The fourth proportional to 10,804.90, 14,896.32 and 8,104.64 is: 11,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.90 : 14,896.32 = 8,104.64 : x
  2. Step 2: Convert to fraction form
    10,804.90/14,896.32 = 8,104.64/x
  3. Step 3: Cross multiply
    10,804.90x = 14,896.32 × 8,104.64
  4. Step 4: Simplify right side
    10,804.90x = 120,729,310.92
  5. Step 5: Solve for x
    x = 120,729,310.92/10,804.90
  6. Step 6: Final answer
    x = 11,173.57

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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.