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Finding the Fourth Proportional to 10,754.36, 16,131.54 and 2,965.40

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Solution

The fourth proportional to 10,754.36, 16,131.54 and 2,965.40 is: 4,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.36 : 16,131.54 = 2,965.40 : x
  2. Step 2: Convert to fraction form
    10,754.36/16,131.54 = 2,965.40/x
  3. Step 3: Cross multiply
    10,754.36x = 16,131.54 × 2,965.40
  4. Step 4: Simplify right side
    10,754.36x = 47,836,468.72
  5. Step 5: Solve for x
    x = 47,836,468.72/10,754.36
  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.