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Finding the Fourth Proportional to 13,974, 20,953.92 and 5,088.96

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Solution

The fourth proportional to 13,974, 20,953.92 and 5,088.96 is: 7,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 20,953.92 = 5,088.96 : x
  2. Step 2: Convert to fraction form
    13,974/20,953.92 = 5,088.96/x
  3. Step 3: Cross multiply
    13,974x = 20,953.92 × 5,088.96
  4. Step 4: Simplify right side
    13,974x = 106,633,660.72
  5. Step 5: Solve for x
    x = 106,633,660.72/13,974
  6. Step 6: Final answer
    x = 7,630.86

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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.