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Finding the Fourth Proportional to 4,982.78, 7,474.37 and 1,862.47

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Solution

The fourth proportional to 4,982.78, 7,474.37 and 1,862.47 is: 2,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.78 : 7,474.37 = 1,862.47 : x
  2. Step 2: Convert to fraction form
    4,982.78/7,474.37 = 1,862.47/x
  3. Step 3: Cross multiply
    4,982.78x = 7,474.37 × 1,862.47
  4. Step 4: Simplify right side
    4,982.78x = 13,920,775.86
  5. Step 5: Solve for x
    x = 13,920,775.86/4,982.78
  6. Step 6: Final answer
    x = 2,793.78

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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.