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Finding the Fourth Proportional to 2,873.14, 4,308.91 and 792.66

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Solution

The fourth proportional to 2,873.14, 4,308.91 and 792.66 is: 1,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.14 : 4,308.91 = 792.66 : x
  2. Step 2: Convert to fraction form
    2,873.14/4,308.91 = 792.66/x
  3. Step 3: Cross multiply
    2,873.14x = 4,308.91 × 792.66
  4. Step 4: Simplify right side
    2,873.14x = 3,415,500.60
  5. Step 5: Solve for x
    x = 3,415,500.60/2,873.14
  6. Step 6: Final answer
    x = 1,188.77

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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.