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Finding the Fourth Proportional to 3,490.72, 5,234.50 and 1,642.40

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Solution

The fourth proportional to 3,490.72, 5,234.50 and 1,642.40 is: 2,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.72 : 5,234.50 = 1,642.40 : x
  2. Step 2: Convert to fraction form
    3,490.72/5,234.50 = 1,642.40/x
  3. Step 3: Cross multiply
    3,490.72x = 5,234.50 × 1,642.40
  4. Step 4: Simplify right side
    3,490.72x = 8,597,142.80
  5. Step 5: Solve for x
    x = 8,597,142.80/3,490.72
  6. Step 6: Final answer
    x = 2,462.86

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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.