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Finding the Fourth Proportional to 2,057.79, 3,086.62 and 824.87

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Solution

The fourth proportional to 2,057.79, 3,086.62 and 824.87 is: 1,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.79 : 3,086.62 = 824.87 : x
  2. Step 2: Convert to fraction form
    2,057.79/3,086.62 = 824.87/x
  3. Step 3: Cross multiply
    2,057.79x = 3,086.62 × 824.87
  4. Step 4: Simplify right side
    2,057.79x = 2,546,065.89
  5. Step 5: Solve for x
    x = 2,546,065.89/2,057.79
  6. Step 6: Final answer
    x = 1,237.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.