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Finding the Fourth Proportional to 9,729.88, 13,418.94 and 8,224.72

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Solution

The fourth proportional to 9,729.88, 13,418.94 and 8,224.72 is: 11,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.88 : 13,418.94 = 8,224.72 : x
  2. Step 2: Convert to fraction form
    9,729.88/13,418.94 = 8,224.72/x
  3. Step 3: Cross multiply
    9,729.88x = 13,418.94 × 8,224.72
  4. Step 4: Simplify right side
    9,729.88x = 110,367,024.20
  5. Step 5: Solve for x
    x = 110,367,024.20/9,729.88
  6. Step 6: Final answer
    x = 11,343.10

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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.