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Finding the Fourth Proportional to 12,412.88, 17,129.42 and 6,747.49

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Solution

The fourth proportional to 12,412.88, 17,129.42 and 6,747.49 is: 9,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.88 : 17,129.42 = 6,747.49 : x
  2. Step 2: Convert to fraction form
    12,412.88/17,129.42 = 6,747.49/x
  3. Step 3: Cross multiply
    12,412.88x = 17,129.42 × 6,747.49
  4. Step 4: Simplify right side
    12,412.88x = 115,580,560.07
  5. Step 5: Solve for x
    x = 115,580,560.07/12,412.88
  6. Step 6: Final answer
    x = 9,311.34

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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.