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Finding the Fourth Proportional to 13,871.76, 20,755.80 and 8,031.12

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Solution

The fourth proportional to 13,871.76, 20,755.80 and 8,031.12 is: 12,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.76 : 20,755.80 = 8,031.12 : x
  2. Step 2: Convert to fraction form
    13,871.76/20,755.80 = 8,031.12/x
  3. Step 3: Cross multiply
    13,871.76x = 20,755.80 × 8,031.12
  4. Step 4: Simplify right side
    13,871.76x = 166,692,320.50
  5. Step 5: Solve for x
    x = 166,692,320.50/13,871.76
  6. Step 6: Final answer
    x = 12,016.67

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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.