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Finding the Fourth Proportional to 9,163.94, 13,736.12 and 3,897.72

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Solution

The fourth proportional to 9,163.94, 13,736.12 and 3,897.72 is: 5,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.94 : 13,736.12 = 3,897.72 : x
  2. Step 2: Convert to fraction form
    9,163.94/13,736.12 = 3,897.72/x
  3. Step 3: Cross multiply
    9,163.94x = 13,736.12 × 3,897.72
  4. Step 4: Simplify right side
    9,163.94x = 53,539,530.16
  5. Step 5: Solve for x
    x = 53,539,530.16/9,163.94
  6. Step 6: Final answer
    x = 5,842.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.