Home / 4,150-5,726.44-2,381.28

Finding the Fourth Proportional to 4,150, 5,726.44 and 2,381.28

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Solution

The fourth proportional to 4,150, 5,726.44 and 2,381.28 is: 3,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150 : 5,726.44 = 2,381.28 : x
  2. Step 2: Convert to fraction form
    4,150/5,726.44 = 2,381.28/x
  3. Step 3: Cross multiply
    4,150x = 5,726.44 × 2,381.28
  4. Step 4: Simplify right side
    4,150x = 13,636,257.04
  5. Step 5: Solve for x
    x = 13,636,257.04/4,150
  6. Step 6: Final answer
    x = 3,285.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.