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Finding the Fourth Proportional to 4,982.31, 7,478.07 and 2,518.86

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Solution

The fourth proportional to 4,982.31, 7,478.07 and 2,518.86 is: 3,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.31 : 7,478.07 = 2,518.86 : x
  2. Step 2: Convert to fraction form
    4,982.31/7,478.07 = 2,518.86/x
  3. Step 3: Cross multiply
    4,982.31x = 7,478.07 × 2,518.86
  4. Step 4: Simplify right side
    4,982.31x = 18,836,211.40
  5. Step 5: Solve for x
    x = 18,836,211.40/4,982.31
  6. Step 6: Final answer
    x = 3,780.62

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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.