Home / 3,102.29-4,651.87-1,022.05

Finding the Fourth Proportional to 3,102.29, 4,651.87 and 1,022.05

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Solution

The fourth proportional to 3,102.29, 4,651.87 and 1,022.05 is: 1,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.29 : 4,651.87 = 1,022.05 : x
  2. Step 2: Convert to fraction form
    3,102.29/4,651.87 = 1,022.05/x
  3. Step 3: Cross multiply
    3,102.29x = 4,651.87 × 1,022.05
  4. Step 4: Simplify right side
    3,102.29x = 4,754,443.73
  5. Step 5: Solve for x
    x = 4,754,443.73/3,102.29
  6. Step 6: Final answer
    x = 1,532.56

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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.