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Finding the Fourth Proportional to 13,871.84, 20,826.27 and 11,805.12

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Solution

The fourth proportional to 13,871.84, 20,826.27 and 11,805.12 is: 17,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.84 : 20,826.27 = 11,805.12 : x
  2. Step 2: Convert to fraction form
    13,871.84/20,826.27 = 11,805.12/x
  3. Step 3: Cross multiply
    13,871.84x = 20,826.27 × 11,805.12
  4. Step 4: Simplify right side
    13,871.84x = 245,856,616.50
  5. Step 5: Solve for x
    x = 245,856,616.50/13,871.84
  6. Step 6: Final answer
    x = 17,723.44

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1.5x scale

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.