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Finding the Fourth Proportional to 2,656, 3,665.92 and 1,921.28

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Solution

The fourth proportional to 2,656, 3,665.92 and 1,921.28 is: 2,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,665.92 = 1,921.28 : x
  2. Step 2: Convert to fraction form
    2,656/3,665.92 = 1,921.28/x
  3. Step 3: Cross multiply
    2,656x = 3,665.92 × 1,921.28
  4. Step 4: Simplify right side
    2,656x = 7,043,258.78
  5. Step 5: Solve for x
    x = 7,043,258.78/2,656
  6. Step 6: Final answer
    x = 2,651.83

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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.