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Finding the Fourth Proportional to 3,100.50, 4,647.03 and 1,714.56

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Solution

The fourth proportional to 3,100.50, 4,647.03 and 1,714.56 is: 2,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.50 : 4,647.03 = 1,714.56 : x
  2. Step 2: Convert to fraction form
    3,100.50/4,647.03 = 1,714.56/x
  3. Step 3: Cross multiply
    3,100.50x = 4,647.03 × 1,714.56
  4. Step 4: Simplify right side
    3,100.50x = 7,967,611.76
  5. Step 5: Solve for x
    x = 7,967,611.76/3,100.50
  6. Step 6: Final answer
    x = 2,569.78

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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.