Home / 3,983-5,496.28-2,214.54

Finding the Fourth Proportional to 3,983, 5,496.28 and 2,214.54

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Solution

The fourth proportional to 3,983, 5,496.28 and 2,214.54 is: 3,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983 : 5,496.28 = 2,214.54 : x
  2. Step 2: Convert to fraction form
    3,983/5,496.28 = 2,214.54/x
  3. Step 3: Cross multiply
    3,983x = 5,496.28 × 2,214.54
  4. Step 4: Simplify right side
    3,983x = 12,171,731.91
  5. Step 5: Solve for x
    x = 12,171,731.91/3,983
  6. Step 6: Final answer
    x = 3,055.92

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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.