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Finding the Fourth Proportional to 11,686.56, 17,529.75 and 2,921.43

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Solution

The fourth proportional to 11,686.56, 17,529.75 and 2,921.43 is: 4,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.56 : 17,529.75 = 2,921.43 : x
  2. Step 2: Convert to fraction form
    11,686.56/17,529.75 = 2,921.43/x
  3. Step 3: Cross multiply
    11,686.56x = 17,529.75 × 2,921.43
  4. Step 4: Simplify right side
    11,686.56x = 51,211,937.54
  5. Step 5: Solve for x
    x = 51,211,937.54/11,686.56
  6. Step 6: Final answer
    x = 4,382.12

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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.