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Finding the Fourth Proportional to 29,185.76, 43,785.84 and 8,409.08

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Solution

The fourth proportional to 29,185.76, 43,785.84 and 8,409.08 is: 12,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185.76 : 43,785.84 = 8,409.08 : x
  2. Step 2: Convert to fraction form
    29,185.76/43,785.84 = 8,409.08/x
  3. Step 3: Cross multiply
    29,185.76x = 43,785.84 × 8,409.08
  4. Step 4: Simplify right side
    29,185.76x = 368,198,631.43
  5. Step 5: Solve for x
    x = 368,198,631.43/29,185.76
  6. Step 6: Final answer
    x = 12,615.69

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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.