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Finding the Fourth Proportional to 13,745.57, 20,614.25 and 7,168.17

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Solution

The fourth proportional to 13,745.57, 20,614.25 and 7,168.17 is: 10,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.57 : 20,614.25 = 7,168.17 : x
  2. Step 2: Convert to fraction form
    13,745.57/20,614.25 = 7,168.17/x
  3. Step 3: Cross multiply
    13,745.57x = 20,614.25 × 7,168.17
  4. Step 4: Simplify right side
    13,745.57x = 147,766,445.35
  5. Step 5: Solve for x
    x = 147,766,445.35/13,745.57
  6. Step 6: Final answer
    x = 10,750.11

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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.