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Finding the Fourth Proportional to 4,982.72, 7,474.43 and 1,284.96

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Solution

The fourth proportional to 4,982.72, 7,474.43 and 1,284.96 is: 1,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.72 : 7,474.43 = 1,284.96 : x
  2. Step 2: Convert to fraction form
    4,982.72/7,474.43 = 1,284.96/x
  3. Step 3: Cross multiply
    4,982.72x = 7,474.43 × 1,284.96
  4. Step 4: Simplify right side
    4,982.72x = 9,604,367.59
  5. Step 5: Solve for x
    x = 9,604,367.59/4,982.72
  6. Step 6: Final answer
    x = 1,927.54

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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.