Home / 2,082.31-2,871.15-1,728.64

Finding the Fourth Proportional to 2,082.31, 2,871.15 and 1,728.64

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Solution

The fourth proportional to 2,082.31, 2,871.15 and 1,728.64 is: 2,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.31 : 2,871.15 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    2,082.31/2,871.15 = 1,728.64/x
  3. Step 3: Cross multiply
    2,082.31x = 2,871.15 × 1,728.64
  4. Step 4: Simplify right side
    2,082.31x = 4,963,181.84
  5. Step 5: Solve for x
    x = 4,963,181.84/2,082.31
  6. Step 6: Final answer
    x = 2,383.50

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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.