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Finding the Fourth Proportional to 3,494.91, 5,239.49 and 1,646.90

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Solution

The fourth proportional to 3,494.91, 5,239.49 and 1,646.90 is: 2,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.91 : 5,239.49 = 1,646.90 : x
  2. Step 2: Convert to fraction form
    3,494.91/5,239.49 = 1,646.90/x
  3. Step 3: Cross multiply
    3,494.91x = 5,239.49 × 1,646.90
  4. Step 4: Simplify right side
    3,494.91x = 8,628,881.65
  5. Step 5: Solve for x
    x = 8,628,881.65/3,494.91
  6. Step 6: Final answer
    x = 2,468.99

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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.