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Finding the Fourth Proportional to 2,470.98, 3,408.92 and 1,620.00

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Solution

The fourth proportional to 2,470.98, 3,408.92 and 1,620.00 is: 2,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.98 : 3,408.92 = 1,620.00 : x
  2. Step 2: Convert to fraction form
    2,470.98/3,408.92 = 1,620.00/x
  3. Step 3: Cross multiply
    2,470.98x = 3,408.92 × 1,620.00
  4. Step 4: Simplify right side
    2,470.98x = 5,522,445.93
  5. Step 5: Solve for x
    x = 5,522,445.93/2,470.98
  6. Step 6: Final answer
    x = 2,234.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.