Home / 2,002.30-3,003.80-964.17

Finding the Fourth Proportional to 2,002.30, 3,003.80 and 964.17

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Solution

The fourth proportional to 2,002.30, 3,003.80 and 964.17 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.30 : 3,003.80 = 964.17 : x
  2. Step 2: Convert to fraction form
    2,002.30/3,003.80 = 964.17/x
  3. Step 3: Cross multiply
    2,002.30x = 3,003.80 × 964.17
  4. Step 4: Simplify right side
    2,002.30x = 2,896,169.03
  5. Step 5: Solve for x
    x = 2,896,169.03/2,002.30
  6. Step 6: Final answer
    x = 1,446.42

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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.