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Finding the Fourth Proportional to 2,015.17, 3,022.43 and 553.97

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Solution

The fourth proportional to 2,015.17, 3,022.43 and 553.97 is: 830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.17 : 3,022.43 = 553.97 : x
  2. Step 2: Convert to fraction form
    2,015.17/3,022.43 = 553.97/x
  3. Step 3: Cross multiply
    2,015.17x = 3,022.43 × 553.97
  4. Step 4: Simplify right side
    2,015.17x = 1,674,340.33
  5. Step 5: Solve for x
    x = 1,674,340.33/2,015.17
  6. Step 6: Final answer
    x = 830.87

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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.