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Finding the Fourth Proportional to 4,451.50, 6,678.39 and 1,678.20

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Solution

The fourth proportional to 4,451.50, 6,678.39 and 1,678.20 is: 2,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.50 : 6,678.39 = 1,678.20 : x
  2. Step 2: Convert to fraction form
    4,451.50/6,678.39 = 1,678.20/x
  3. Step 3: Cross multiply
    4,451.50x = 6,678.39 × 1,678.20
  4. Step 4: Simplify right side
    4,451.50x = 11,207,674.10
  5. Step 5: Solve for x
    x = 11,207,674.10/4,451.50
  6. Step 6: Final answer
    x = 2,517.73

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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.