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Finding the Fourth Proportional to 13,713.52, 20,567.20 and 8,168.45

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Solution

The fourth proportional to 13,713.52, 20,567.20 and 8,168.45 is: 12,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.52 : 20,567.20 = 8,168.45 : x
  2. Step 2: Convert to fraction form
    13,713.52/20,567.20 = 8,168.45/x
  3. Step 3: Cross multiply
    13,713.52x = 20,567.20 × 8,168.45
  4. Step 4: Simplify right side
    13,713.52x = 168,002,019.67
  5. Step 5: Solve for x
    x = 168,002,019.67/13,713.52
  6. Step 6: Final answer
    x = 12,250.84

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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.