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Finding the Fourth Proportional to 2,983.70, 4,475.62 and 792.42

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Solution

The fourth proportional to 2,983.70, 4,475.62 and 792.42 is: 1,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.70 : 4,475.62 = 792.42 : x
  2. Step 2: Convert to fraction form
    2,983.70/4,475.62 = 792.42/x
  3. Step 3: Cross multiply
    2,983.70x = 4,475.62 × 792.42
  4. Step 4: Simplify right side
    2,983.70x = 3,546,568.82
  5. Step 5: Solve for x
    x = 3,546,568.82/2,983.70
  6. Step 6: Final answer
    x = 1,188.65

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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.