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Finding the Fourth Proportional to 13,788.10, 20,682.14 and 8,243.03

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Solution

The fourth proportional to 13,788.10, 20,682.14 and 8,243.03 is: 12,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.10 : 20,682.14 = 8,243.03 : x
  2. Step 2: Convert to fraction form
    13,788.10/20,682.14 = 8,243.03/x
  3. Step 3: Cross multiply
    13,788.10x = 20,682.14 × 8,243.03
  4. Step 4: Simplify right side
    13,788.10x = 170,483,423.49
  5. Step 5: Solve for x
    x = 170,483,423.49/13,788.10
  6. Step 6: Final answer
    x = 12,364.54

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Similar ratio
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1.5x scale

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.