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Finding the Fourth Proportional to 13,902.24, 20,745.24 and 13,568.64

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Solution

The fourth proportional to 13,902.24, 20,745.24 and 13,568.64 is: 20,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.24 : 20,745.24 = 13,568.64 : x
  2. Step 2: Convert to fraction form
    13,902.24/20,745.24 = 13,568.64/x
  3. Step 3: Cross multiply
    13,902.24x = 20,745.24 × 13,568.64
  4. Step 4: Simplify right side
    13,902.24x = 281,484,693.27
  5. Step 5: Solve for x
    x = 281,484,693.27/13,902.24
  6. Step 6: Final answer
    x = 20,247.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.