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Finding the Fourth Proportional to 2,872.94, 4,308.63 and 792.45

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Solution

The fourth proportional to 2,872.94, 4,308.63 and 792.45 is: 1,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.94 : 4,308.63 = 792.45 : x
  2. Step 2: Convert to fraction form
    2,872.94/4,308.63 = 792.45/x
  3. Step 3: Cross multiply
    2,872.94x = 4,308.63 × 792.45
  4. Step 4: Simplify right side
    2,872.94x = 3,414,377.56
  5. Step 5: Solve for x
    x = 3,414,377.56/2,872.94
  6. Step 6: Final answer
    x = 1,188.46

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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.