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Finding the Fourth Proportional to 13,863.42, 20,803.77 and 8,031.42

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Solution

The fourth proportional to 13,863.42, 20,803.77 and 8,031.42 is: 12,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.42 : 20,803.77 = 8,031.42 : x
  2. Step 2: Convert to fraction form
    13,863.42/20,803.77 = 8,031.42/x
  3. Step 3: Cross multiply
    13,863.42x = 20,803.77 × 8,031.42
  4. Step 4: Simplify right side
    13,863.42x = 167,083,814.45
  5. Step 5: Solve for x
    x = 167,083,814.45/13,863.42
  6. Step 6: Final answer
    x = 12,052.14

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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.