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Finding the Fourth Proportional to 13,644.42, 20,475.27 and 7,812.42

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Solution

The fourth proportional to 13,644.42, 20,475.27 and 7,812.42 is: 11,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.42 : 20,475.27 = 7,812.42 : x
  2. Step 2: Convert to fraction form
    13,644.42/20,475.27 = 7,812.42/x
  3. Step 3: Cross multiply
    13,644.42x = 20,475.27 × 7,812.42
  4. Step 4: Simplify right side
    13,644.42x = 159,961,408.85
  5. Step 5: Solve for x
    x = 159,961,408.85/13,644.42
  6. Step 6: Final answer
    x = 11,723.58

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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.