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Finding the Fourth Proportional to 2,714.40, 4,073.04 and 1,620.90

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Solution

The fourth proportional to 2,714.40, 4,073.04 and 1,620.90 is: 2,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.40 : 4,073.04 = 1,620.90 : x
  2. Step 2: Convert to fraction form
    2,714.40/4,073.04 = 1,620.90/x
  3. Step 3: Cross multiply
    2,714.40x = 4,073.04 × 1,620.90
  4. Step 4: Simplify right side
    2,714.40x = 6,601,990.54
  5. Step 5: Solve for x
    x = 6,601,990.54/2,714.40
  6. Step 6: Final answer
    x = 2,432.21

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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.