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Finding the Fourth Proportional to 19,836.63, 29,761.02 and 6,687.90

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Solution

The fourth proportional to 19,836.63, 29,761.02 and 6,687.90 is: 10,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.63 : 29,761.02 = 6,687.90 : x
  2. Step 2: Convert to fraction form
    19,836.63/29,761.02 = 6,687.90/x
  3. Step 3: Cross multiply
    19,836.63x = 29,761.02 × 6,687.90
  4. Step 4: Simplify right side
    19,836.63x = 199,038,725.66
  5. Step 5: Solve for x
    x = 199,038,725.66/19,836.63
  6. Step 6: Final answer
    x = 10,033.90

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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.