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Finding the Fourth Proportional to 4,149.98, 6,226 and 1,228.28

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Solution

The fourth proportional to 4,149.98, 6,226 and 1,228.28 is: 1,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.98 : 6,226 = 1,228.28 : x
  2. Step 2: Convert to fraction form
    4,149.98/6,226 = 1,228.28/x
  3. Step 3: Cross multiply
    4,149.98x = 6,226 × 1,228.28
  4. Step 4: Simplify right side
    4,149.98x = 7,647,271.28
  5. Step 5: Solve for x
    x = 7,647,271.28/4,149.98
  6. Step 6: Final answer
    x = 1,842.72

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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.