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Finding the Fourth Proportional to 12,471.64, 18,708.27 and 3,705.82

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Solution

The fourth proportional to 12,471.64, 18,708.27 and 3,705.82 is: 5,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.64 : 18,708.27 = 3,705.82 : x
  2. Step 2: Convert to fraction form
    12,471.64/18,708.27 = 3,705.82/x
  3. Step 3: Cross multiply
    12,471.64x = 18,708.27 × 3,705.82
  4. Step 4: Simplify right side
    12,471.64x = 69,329,481.13
  5. Step 5: Solve for x
    x = 69,329,481.13/12,471.64
  6. Step 6: Final answer
    x = 5,558.97

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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.