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Finding the Fourth Proportional to 9,121.42, 13,682.04 and 2,965.42

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Solution

The fourth proportional to 9,121.42, 13,682.04 and 2,965.42 is: 4,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.42 : 13,682.04 = 2,965.42 : x
  2. Step 2: Convert to fraction form
    9,121.42/13,682.04 = 2,965.42/x
  3. Step 3: Cross multiply
    9,121.42x = 13,682.04 × 2,965.42
  4. Step 4: Simplify right side
    9,121.42x = 40,572,995.06
  5. Step 5: Solve for x
    x = 40,572,995.06/9,121.42
  6. Step 6: Final answer
    x = 4,448.10

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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.