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Finding the Fourth Proportional to 13,776.60, 20,673 and 5,457.42

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Solution

The fourth proportional to 13,776.60, 20,673 and 5,457.42 is: 8,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.60 : 20,673 = 5,457.42 : x
  2. Step 2: Convert to fraction form
    13,776.60/20,673 = 5,457.42/x
  3. Step 3: Cross multiply
    13,776.60x = 20,673 × 5,457.42
  4. Step 4: Simplify right side
    13,776.60x = 112,821,243.66
  5. Step 5: Solve for x
    x = 112,821,243.66/13,776.60
  6. Step 6: Final answer
    x = 8,189.34

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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.