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Finding the Fourth Proportional to 13,845, 20,776.14 and 5,637

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Solution

The fourth proportional to 13,845, 20,776.14 and 5,637 is: 8,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845 : 20,776.14 = 5,637 : x
  2. Step 2: Convert to fraction form
    13,845/20,776.14 = 5,637/x
  3. Step 3: Cross multiply
    13,845x = 20,776.14 × 5,637
  4. Step 4: Simplify right side
    13,845x = 117,115,101.18
  5. Step 5: Solve for x
    x = 117,115,101.18/13,845
  6. Step 6: Final answer
    x = 8,459.02

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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.