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Finding the Fourth Proportional to 2,686.56, 4,028.04 and 2,028

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Solution

The fourth proportional to 2,686.56, 4,028.04 and 2,028 is: 3,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.56 : 4,028.04 = 2,028 : x
  2. Step 2: Convert to fraction form
    2,686.56/4,028.04 = 2,028/x
  3. Step 3: Cross multiply
    2,686.56x = 4,028.04 × 2,028
  4. Step 4: Simplify right side
    2,686.56x = 8,168,865.12
  5. Step 5: Solve for x
    x = 8,168,865.12/2,686.56
  6. Step 6: Final answer
    x = 3,040.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.