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Finding the Fourth Proportional to 12,646.25, 17,452.79 and 6,982.09

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Solution

The fourth proportional to 12,646.25, 17,452.79 and 6,982.09 is: 9,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.25 : 17,452.79 = 6,982.09 : x
  2. Step 2: Convert to fraction form
    12,646.25/17,452.79 = 6,982.09/x
  3. Step 3: Cross multiply
    12,646.25x = 17,452.79 × 6,982.09
  4. Step 4: Simplify right side
    12,646.25x = 121,856,828.36
  5. Step 5: Solve for x
    x = 121,856,828.36/12,646.25
  6. Step 6: Final answer
    x = 9,635.81

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1.5x scale

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.