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Finding the Fourth Proportional to 3,028, 4,542 and 1,205.28

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Solution

The fourth proportional to 3,028, 4,542 and 1,205.28 is: 1,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028 : 4,542 = 1,205.28 : x
  2. Step 2: Convert to fraction form
    3,028/4,542 = 1,205.28/x
  3. Step 3: Cross multiply
    3,028x = 4,542 × 1,205.28
  4. Step 4: Simplify right side
    3,028x = 5,474,381.76
  5. Step 5: Solve for x
    x = 5,474,381.76/3,028
  6. Step 6: Final answer
    x = 1,807.92

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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.