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Finding the Fourth Proportional to 20,404.96, 28,159.92 and 11,452

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Solution

The fourth proportional to 20,404.96, 28,159.92 and 11,452 is: 15,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.96 : 28,159.92 = 11,452 : x
  2. Step 2: Convert to fraction form
    20,404.96/28,159.92 = 11,452/x
  3. Step 3: Cross multiply
    20,404.96x = 28,159.92 × 11,452
  4. Step 4: Simplify right side
    20,404.96x = 322,487,403.84
  5. Step 5: Solve for x
    x = 322,487,403.84/20,404.96
  6. Step 6: Final answer
    x = 15,804.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.