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Finding the Fourth Proportional to 4,821.78, 7,234.05 and 1,659.99

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Solution

The fourth proportional to 4,821.78, 7,234.05 and 1,659.99 is: 2,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.78 : 7,234.05 = 1,659.99 : x
  2. Step 2: Convert to fraction form
    4,821.78/7,234.05 = 1,659.99/x
  3. Step 3: Cross multiply
    4,821.78x = 7,234.05 × 1,659.99
  4. Step 4: Simplify right side
    4,821.78x = 12,008,450.66
  5. Step 5: Solve for x
    x = 12,008,450.66/4,821.78
  6. Step 6: Final answer
    x = 2,490.46

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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.