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Finding the Fourth Proportional to 12,447.89, 17,177.92 and 6,782.88

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Solution

The fourth proportional to 12,447.89, 17,177.92 and 6,782.88 is: 9,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.89 : 17,177.92 = 6,782.88 : x
  2. Step 2: Convert to fraction form
    12,447.89/17,177.92 = 6,782.88/x
  3. Step 3: Cross multiply
    12,447.89x = 17,177.92 × 6,782.88
  4. Step 4: Simplify right side
    12,447.89x = 116,515,770.01
  5. Step 5: Solve for x
    x = 116,515,770.01/12,447.89
  6. Step 6: Final answer
    x = 9,360.28

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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.