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Finding the Fourth Proportional to 29,185.68, 43,785 and 8,409.24

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Solution

The fourth proportional to 29,185.68, 43,785 and 8,409.24 is: 12,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185.68 : 43,785 = 8,409.24 : x
  2. Step 2: Convert to fraction form
    29,185.68/43,785 = 8,409.24/x
  3. Step 3: Cross multiply
    29,185.68x = 43,785 × 8,409.24
  4. Step 4: Simplify right side
    29,185.68x = 368,198,573.40
  5. Step 5: Solve for x
    x = 368,198,573.40/29,185.68
  6. Step 6: Final answer
    x = 12,615.73

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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.