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Finding the Fourth Proportional to 3,493.99, 4,822.91 and 3,390.31

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Solution

The fourth proportional to 3,493.99, 4,822.91 and 3,390.31 is: 4,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.99 : 4,822.91 = 3,390.31 : x
  2. Step 2: Convert to fraction form
    3,493.99/4,822.91 = 3,390.31/x
  3. Step 3: Cross multiply
    3,493.99x = 4,822.91 × 3,390.31
  4. Step 4: Simplify right side
    3,493.99x = 16,351,160.00
  5. Step 5: Solve for x
    x = 16,351,160.00/3,493.99
  6. Step 6: Final answer
    x = 4,679.80

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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.