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Finding the Fourth Proportional to 13,974, 20,961.03 and 3,585.84

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Solution

The fourth proportional to 13,974, 20,961.03 and 3,585.84 is: 5,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 20,961.03 = 3,585.84 : x
  2. Step 2: Convert to fraction form
    13,974/20,961.03 = 3,585.84/x
  3. Step 3: Cross multiply
    13,974x = 20,961.03 × 3,585.84
  4. Step 4: Simplify right side
    13,974x = 75,162,899.82
  5. Step 5: Solve for x
    x = 75,162,899.82/13,974
  6. Step 6: Final answer
    x = 5,378.77

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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.