Home / 2,983-4,115.40-2,301.82

Finding the Fourth Proportional to 2,983, 4,115.40 and 2,301.82

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Solution

The fourth proportional to 2,983, 4,115.40 and 2,301.82 is: 3,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983 : 4,115.40 = 2,301.82 : x
  2. Step 2: Convert to fraction form
    2,983/4,115.40 = 2,301.82/x
  3. Step 3: Cross multiply
    2,983x = 4,115.40 × 2,301.82
  4. Step 4: Simplify right side
    2,983x = 9,472,910.03
  5. Step 5: Solve for x
    x = 9,472,910.03/2,983
  6. Step 6: Final answer
    x = 3,175.63

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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.