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Finding the Fourth Proportional to 29,200.12, 43,806.66 and 8,422

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Solution

The fourth proportional to 29,200.12, 43,806.66 and 8,422 is: 12,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200.12 : 43,806.66 = 8,422 : x
  2. Step 2: Convert to fraction form
    29,200.12/43,806.66 = 8,422/x
  3. Step 3: Cross multiply
    29,200.12x = 43,806.66 × 8,422
  4. Step 4: Simplify right side
    29,200.12x = 368,939,690.52
  5. Step 5: Solve for x
    x = 368,939,690.52/29,200.12
  6. Step 6: Final answer
    x = 12,634.87

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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.