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Finding the Fourth Proportional to 13,893.60, 20,845.20 and 6,101.28

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Solution

The fourth proportional to 13,893.60, 20,845.20 and 6,101.28 is: 9,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.60 : 20,845.20 = 6,101.28 : x
  2. Step 2: Convert to fraction form
    13,893.60/20,845.20 = 6,101.28/x
  3. Step 3: Cross multiply
    13,893.60x = 20,845.20 × 6,101.28
  4. Step 4: Simplify right side
    13,893.60x = 127,182,401.86
  5. Step 5: Solve for x
    x = 127,182,401.86/13,893.60
  6. Step 6: Final answer
    x = 9,154.03

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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.