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Finding the Fourth Proportional to 9,106, 13,661.16 and 2,950

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Solution

The fourth proportional to 9,106, 13,661.16 and 2,950 is: 4,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 13,661.16 = 2,950 : x
  2. Step 2: Convert to fraction form
    9,106/13,661.16 = 2,950/x
  3. Step 3: Cross multiply
    9,106x = 13,661.16 × 2,950
  4. Step 4: Simplify right side
    9,106x = 40,300,422
  5. Step 5: Solve for x
    x = 40,300,422/9,106
  6. Step 6: Final answer
    x = 4,425.70

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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.