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Finding the Fourth Proportional to 13,651.44, 20,459.28 and 13,308

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Solution

The fourth proportional to 13,651.44, 20,459.28 and 13,308 is: 19,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.44 : 20,459.28 = 13,308 : x
  2. Step 2: Convert to fraction form
    13,651.44/20,459.28 = 13,308/x
  3. Step 3: Cross multiply
    13,651.44x = 20,459.28 × 13,308
  4. Step 4: Simplify right side
    13,651.44x = 272,272,098.24
  5. Step 5: Solve for x
    x = 272,272,098.24/13,651.44
  6. Step 6: Final answer
    x = 19,944.57

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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.