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Finding the Fourth Proportional to 13,641, 20,457 and 4,404.84

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Solution

The fourth proportional to 13,641, 20,457 and 4,404.84 is: 6,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641 : 20,457 = 4,404.84 : x
  2. Step 2: Convert to fraction form
    13,641/20,457 = 4,404.84/x
  3. Step 3: Cross multiply
    13,641x = 20,457 × 4,404.84
  4. Step 4: Simplify right side
    13,641x = 90,109,811.88
  5. Step 5: Solve for x
    x = 90,109,811.88/13,641
  6. Step 6: Final answer
    x = 6,605.81

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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.