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Finding the Fourth Proportional to 1,293.88, 1,936.98 and 836.92

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Solution

The fourth proportional to 1,293.88, 1,936.98 and 836.92 is: 1,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.88 : 1,936.98 = 836.92 : x
  2. Step 2: Convert to fraction form
    1,293.88/1,936.98 = 836.92/x
  3. Step 3: Cross multiply
    1,293.88x = 1,936.98 × 836.92
  4. Step 4: Simplify right side
    1,293.88x = 1,621,097.30
  5. Step 5: Solve for x
    x = 1,621,097.30/1,293.88
  6. Step 6: Final answer
    x = 1,252.90

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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.