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Finding the Fourth Proportional to 12,398.30, 17,109.71 and 6,733.09

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Solution

The fourth proportional to 12,398.30, 17,109.71 and 6,733.09 is: 9,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.30 : 17,109.71 = 6,733.09 : x
  2. Step 2: Convert to fraction form
    12,398.30/17,109.71 = 6,733.09/x
  3. Step 3: Cross multiply
    12,398.30x = 17,109.71 × 6,733.09
  4. Step 4: Simplify right side
    12,398.30x = 115,201,217.30
  5. Step 5: Solve for x
    x = 115,201,217.30/12,398.30
  6. Step 6: Final answer
    x = 9,291.69

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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.