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Finding the Fourth Proportional to 13,620.96, 20,431.44 and 7,452

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Solution

The fourth proportional to 13,620.96, 20,431.44 and 7,452 is: 11,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.96 : 20,431.44 = 7,452 : x
  2. Step 2: Convert to fraction form
    13,620.96/20,431.44 = 7,452/x
  3. Step 3: Cross multiply
    13,620.96x = 20,431.44 × 7,452
  4. Step 4: Simplify right side
    13,620.96x = 152,255,090.88
  5. Step 5: Solve for x
    x = 152,255,090.88/13,620.96
  6. Step 6: Final answer
    x = 11,178

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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.