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Finding the Fourth Proportional to 12,412.90, 17,129.09 and 6,747.62

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Solution

The fourth proportional to 12,412.90, 17,129.09 and 6,747.62 is: 9,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.90 : 17,129.09 = 6,747.62 : x
  2. Step 2: Convert to fraction form
    12,412.90/17,129.09 = 6,747.62/x
  3. Step 3: Cross multiply
    12,412.90x = 17,129.09 × 6,747.62
  4. Step 4: Simplify right side
    12,412.90x = 115,580,590.27
  5. Step 5: Solve for x
    x = 115,580,590.27/12,412.90
  6. Step 6: Final answer
    x = 9,311.33

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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.